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Finding the Fourth Proportional to 456.52, 629.96 and 257.38

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Solution

The fourth proportional to 456.52, 629.96 and 257.38 is: 355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 629.96 = 257.38 : x
  2. Step 2: Convert to fraction form
    456.52/629.96 = 257.38/x
  3. Step 3: Cross multiply
    456.52x = 629.96 × 257.38
  4. Step 4: Simplify right side
    456.52x = 162,138.17
  5. Step 5: Solve for x
    x = 162,138.17/456.52
  6. Step 6: Final answer
    x = 355.16

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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.