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Finding the Fourth Proportional to 463.20, 638.70 and 297.48

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Solution

The fourth proportional to 463.20, 638.70 and 297.48 is: 410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 638.70 = 297.48 : x
  2. Step 2: Convert to fraction form
    463.20/638.70 = 297.48/x
  3. Step 3: Cross multiply
    463.20x = 638.70 × 297.48
  4. Step 4: Simplify right side
    463.20x = 190,000.48
  5. Step 5: Solve for x
    x = 190,000.48/463.20
  6. Step 6: Final answer
    x = 410.19

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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.