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Finding the Fourth Proportional to 391.53, 586.80 and 147.81

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Solution

The fourth proportional to 391.53, 586.80 and 147.81 is: 221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.53 : 586.80 = 147.81 : x
  2. Step 2: Convert to fraction form
    391.53/586.80 = 147.81/x
  3. Step 3: Cross multiply
    391.53x = 586.80 × 147.81
  4. Step 4: Simplify right side
    391.53x = 86,734.91
  5. Step 5: Solve for x
    x = 86,734.91/391.53
  6. Step 6: Final answer
    x = 221.53

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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.