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Finding the Fourth Proportional to 456.29, 629.65 and 257.12

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Solution

The fourth proportional to 456.29, 629.65 and 257.12 is: 354.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.29 : 629.65 = 257.12 : x
  2. Step 2: Convert to fraction form
    456.29/629.65 = 257.12/x
  3. Step 3: Cross multiply
    456.29x = 629.65 × 257.12
  4. Step 4: Simplify right side
    456.29x = 161,892.46
  5. Step 5: Solve for x
    x = 161,892.46/456.29
  6. Step 6: Final answer
    x = 354.81

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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.