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Finding the Fourth Proportional to 442.63, 663.53 and 223.12

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Solution

The fourth proportional to 442.63, 663.53 and 223.12 is: 334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.63 : 663.53 = 223.12 : x
  2. Step 2: Convert to fraction form
    442.63/663.53 = 223.12/x
  3. Step 3: Cross multiply
    442.63x = 663.53 × 223.12
  4. Step 4: Simplify right side
    442.63x = 148,043.50
  5. Step 5: Solve for x
    x = 148,043.50/442.63
  6. Step 6: Final answer
    x = 334.47

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Find fourth proportional to 221.31, 331.77 and 111.56
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.