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Finding the Fourth Proportional to 463.73, 639.94 and 253.90

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Solution

The fourth proportional to 463.73, 639.94 and 253.90 is: 350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.73 : 639.94 = 253.90 : x
  2. Step 2: Convert to fraction form
    463.73/639.94 = 253.90/x
  3. Step 3: Cross multiply
    463.73x = 639.94 × 253.90
  4. Step 4: Simplify right side
    463.73x = 162,480.86
  5. Step 5: Solve for x
    x = 162,480.86/463.73
  6. Step 6: Final answer
    x = 350.38

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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.