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Finding the Fourth Proportional to 391.62, 587.37 and 117.66

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Solution

The fourth proportional to 391.62, 587.37 and 117.66 is: 176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.62 : 587.37 = 117.66 : x
  2. Step 2: Convert to fraction form
    391.62/587.37 = 117.66/x
  3. Step 3: Cross multiply
    391.62x = 587.37 × 117.66
  4. Step 4: Simplify right side
    391.62x = 69,109.95
  5. Step 5: Solve for x
    x = 69,109.95/391.62
  6. Step 6: Final answer
    x = 176.47

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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.