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Finding the Fourth Proportional to 463.60, 639.76 and 253.78

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Solution

The fourth proportional to 463.60, 639.76 and 253.78 is: 350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.60 : 639.76 = 253.78 : x
  2. Step 2: Convert to fraction form
    463.60/639.76 = 253.78/x
  3. Step 3: Cross multiply
    463.60x = 639.76 × 253.78
  4. Step 4: Simplify right side
    463.60x = 162,358.29
  5. Step 5: Solve for x
    x = 162,358.29/463.60
  6. Step 6: Final answer
    x = 350.21

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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.