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Finding the Fourth Proportional to 391.31, 586.82 and 117.41

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Solution

The fourth proportional to 391.31, 586.82 and 117.41 is: 176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.31 : 586.82 = 117.41 : x
  2. Step 2: Convert to fraction form
    391.31/586.82 = 117.41/x
  3. Step 3: Cross multiply
    391.31x = 586.82 × 117.41
  4. Step 4: Simplify right side
    391.31x = 68,897.95
  5. Step 5: Solve for x
    x = 68,897.95/391.31
  6. Step 6: Final answer
    x = 176.07

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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.