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Finding the Fourth Proportional to 463.46, 639.54 and 264.33

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Solution

The fourth proportional to 463.46, 639.54 and 264.33 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.46 : 639.54 = 264.33 : x
  2. Step 2: Convert to fraction form
    463.46/639.54 = 264.33/x
  3. Step 3: Cross multiply
    463.46x = 639.54 × 264.33
  4. Step 4: Simplify right side
    463.46x = 169,049.61
  5. Step 5: Solve for x
    x = 169,049.61/463.46
  6. Step 6: Final answer
    x = 364.76

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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.