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Finding the Fourth Proportional to 384.27, 532.72 and 363.48

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Solution

The fourth proportional to 384.27, 532.72 and 363.48 is: 503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.27 : 532.72 = 363.48 : x
  2. Step 2: Convert to fraction form
    384.27/532.72 = 363.48/x
  3. Step 3: Cross multiply
    384.27x = 532.72 × 363.48
  4. Step 4: Simplify right side
    384.27x = 193,633.07
  5. Step 5: Solve for x
    x = 193,633.07/384.27
  6. Step 6: Final answer
    x = 503.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.