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Finding the Fourth Proportional to 591.31, 886.92 and 180.45

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Solution

The fourth proportional to 591.31, 886.92 and 180.45 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.31 : 886.92 = 180.45 : x
  2. Step 2: Convert to fraction form
    591.31/886.92 = 180.45/x
  3. Step 3: Cross multiply
    591.31x = 886.92 × 180.45
  4. Step 4: Simplify right side
    591.31x = 160,044.71
  5. Step 5: Solve for x
    x = 160,044.71/591.31
  6. Step 6: Final answer
    x = 270.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.