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Finding the Fourth Proportional to 391.14, 586.52 and 117.14

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Solution

The fourth proportional to 391.14, 586.52 and 117.14 is: 175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.14 : 586.52 = 117.14 : x
  2. Step 2: Convert to fraction form
    391.14/586.52 = 117.14/x
  3. Step 3: Cross multiply
    391.14x = 586.52 × 117.14
  4. Step 4: Simplify right side
    391.14x = 68,702.02
  5. Step 5: Solve for x
    x = 68,702.02/391.14
  6. Step 6: Final answer
    x = 175.65

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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.