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Finding the Fourth Proportional to 387.38, 531.31 and 366.46

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Solution

The fourth proportional to 387.38, 531.31 and 366.46 is: 502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.38 : 531.31 = 366.46 : x
  2. Step 2: Convert to fraction form
    387.38/531.31 = 366.46/x
  3. Step 3: Cross multiply
    387.38x = 531.31 × 366.46
  4. Step 4: Simplify right side
    387.38x = 194,703.86
  5. Step 5: Solve for x
    x = 194,703.86/387.38
  6. Step 6: Final answer
    x = 502.62

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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.