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Finding the Fourth Proportional to 462.92, 638.44 and 297.16

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Solution

The fourth proportional to 462.92, 638.44 and 297.16 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 638.44 = 297.16 : x
  2. Step 2: Convert to fraction form
    462.92/638.44 = 297.16/x
  3. Step 3: Cross multiply
    462.92x = 638.44 × 297.16
  4. Step 4: Simplify right side
    462.92x = 189,718.83
  5. Step 5: Solve for x
    x = 189,718.83/462.92
  6. Step 6: Final answer
    x = 409.83

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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.