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Finding the Fourth Proportional to 442.75, 610.72 and 355.63

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Solution

The fourth proportional to 442.75, 610.72 and 355.63 is: 490.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.75 : 610.72 = 355.63 : x
  2. Step 2: Convert to fraction form
    442.75/610.72 = 355.63/x
  3. Step 3: Cross multiply
    442.75x = 610.72 × 355.63
  4. Step 4: Simplify right side
    442.75x = 217,190.35
  5. Step 5: Solve for x
    x = 217,190.35/442.75
  6. Step 6: Final answer
    x = 490.55

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Find fourth proportional to 221.38, 305.36 and 177.82
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.