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Finding the Fourth Proportional to 463.68, 639.41 and 297.90

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Solution

The fourth proportional to 463.68, 639.41 and 297.90 is: 410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.68 : 639.41 = 297.90 : x
  2. Step 2: Convert to fraction form
    463.68/639.41 = 297.90/x
  3. Step 3: Cross multiply
    463.68x = 639.41 × 297.90
  4. Step 4: Simplify right side
    463.68x = 190,478.75
  5. Step 5: Solve for x
    x = 190,478.75/463.68
  6. Step 6: Final answer
    x = 410.80

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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.