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Finding the Fourth Proportional to 462.97, 638.54 and 297.20

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Solution

The fourth proportional to 462.97, 638.54 and 297.20 is: 409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.97 : 638.54 = 297.20 : x
  2. Step 2: Convert to fraction form
    462.97/638.54 = 297.20/x
  3. Step 3: Cross multiply
    462.97x = 638.54 × 297.20
  4. Step 4: Simplify right side
    462.97x = 189,774.09
  5. Step 5: Solve for x
    x = 189,774.09/462.97
  6. Step 6: Final answer
    x = 409.91

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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.