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Finding the Fourth Proportional to 463.29, 639.40 and 266.80

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Solution

The fourth proportional to 463.29, 639.40 and 266.80 is: 368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.29 : 639.40 = 266.80 : x
  2. Step 2: Convert to fraction form
    463.29/639.40 = 266.80/x
  3. Step 3: Cross multiply
    463.29x = 639.40 × 266.80
  4. Step 4: Simplify right side
    463.29x = 170,591.92
  5. Step 5: Solve for x
    x = 170,591.92/463.29
  6. Step 6: Final answer
    x = 368.22

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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.