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Finding the Fourth Proportional to 391.52, 537.96 and 366.24

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Solution

The fourth proportional to 391.52, 537.96 and 366.24 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.52 : 537.96 = 366.24 : x
  2. Step 2: Convert to fraction form
    391.52/537.96 = 366.24/x
  3. Step 3: Cross multiply
    391.52x = 537.96 × 366.24
  4. Step 4: Simplify right side
    391.52x = 197,022.47
  5. Step 5: Solve for x
    x = 197,022.47/391.52
  6. Step 6: Final answer
    x = 503.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.