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Finding the Fourth Proportional to 391.20, 586.60 and 144.39

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Solution

The fourth proportional to 391.20, 586.60 and 144.39 is: 216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.20 : 586.60 = 144.39 : x
  2. Step 2: Convert to fraction form
    391.20/586.60 = 144.39/x
  3. Step 3: Cross multiply
    391.20x = 586.60 × 144.39
  4. Step 4: Simplify right side
    391.20x = 84,699.17
  5. Step 5: Solve for x
    x = 84,699.17/391.20
  6. Step 6: Final answer
    x = 216.51

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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.