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Finding the Fourth Proportional to 391.24, 586.64 and 117.28

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Solution

The fourth proportional to 391.24, 586.64 and 117.28 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.24 : 586.64 = 117.28 : x
  2. Step 2: Convert to fraction form
    391.24/586.64 = 117.28/x
  3. Step 3: Cross multiply
    391.24x = 586.64 × 117.28
  4. Step 4: Simplify right side
    391.24x = 68,801.14
  5. Step 5: Solve for x
    x = 68,801.14/391.24
  6. Step 6: Final answer
    x = 175.85

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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.