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Finding the Fourth Proportional to 511.90, 767.42 and 223.12

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Solution

The fourth proportional to 511.90, 767.42 and 223.12 is: 334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 767.42 = 223.12 : x
  2. Step 2: Convert to fraction form
    511.90/767.42 = 223.12/x
  3. Step 3: Cross multiply
    511.90x = 767.42 × 223.12
  4. Step 4: Simplify right side
    511.90x = 171,226.75
  5. Step 5: Solve for x
    x = 171,226.75/511.90
  6. Step 6: Final answer
    x = 334.49

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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.