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Finding the Fourth Proportional to 463.43, 639.35 and 266.90

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Solution

The fourth proportional to 463.43, 639.35 and 266.90 is: 368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.43 : 639.35 = 266.90 : x
  2. Step 2: Convert to fraction form
    463.43/639.35 = 266.90/x
  3. Step 3: Cross multiply
    463.43x = 639.35 × 266.90
  4. Step 4: Simplify right side
    463.43x = 170,642.78
  5. Step 5: Solve for x
    x = 170,642.78/463.43
  6. Step 6: Final answer
    x = 368.21

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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.