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Finding the Fourth Proportional to 384.86, 531.48 and 329.27

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Solution

The fourth proportional to 384.86, 531.48 and 329.27 is: 454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 531.48 = 329.27 : x
  2. Step 2: Convert to fraction form
    384.86/531.48 = 329.27/x
  3. Step 3: Cross multiply
    384.86x = 531.48 × 329.27
  4. Step 4: Simplify right side
    384.86x = 175,000.42
  5. Step 5: Solve for x
    x = 175,000.42/384.86
  6. Step 6: Final answer
    x = 454.71

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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.