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Finding the Fourth Proportional to 462.52, 638.24 and 255.52

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Solution

The fourth proportional to 462.52, 638.24 and 255.52 is: 352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.52 : 638.24 = 255.52 : x
  2. Step 2: Convert to fraction form
    462.52/638.24 = 255.52/x
  3. Step 3: Cross multiply
    462.52x = 638.24 × 255.52
  4. Step 4: Simplify right side
    462.52x = 163,083.08
  5. Step 5: Solve for x
    x = 163,083.08/462.52
  6. Step 6: Final answer
    x = 352.60

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