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Finding the Fourth Proportional to 391.61, 539.31 and 383.10

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Solution

The fourth proportional to 391.61, 539.31 and 383.10 is: 527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.61 : 539.31 = 383.10 : x
  2. Step 2: Convert to fraction form
    391.61/539.31 = 383.10/x
  3. Step 3: Cross multiply
    391.61x = 539.31 × 383.10
  4. Step 4: Simplify right side
    391.61x = 206,609.66
  5. Step 5: Solve for x
    x = 206,609.66/391.61
  6. Step 6: Final answer
    x = 527.59

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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.