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Finding the Fourth Proportional to 391.30, 586.45 and 159.93

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Solution

The fourth proportional to 391.30, 586.45 and 159.93 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.30 : 586.45 = 159.93 : x
  2. Step 2: Convert to fraction form
    391.30/586.45 = 159.93/x
  3. Step 3: Cross multiply
    391.30x = 586.45 × 159.93
  4. Step 4: Simplify right side
    391.30x = 93,788.68
  5. Step 5: Solve for x
    x = 93,788.68/391.30
  6. Step 6: Final answer
    x = 239.68

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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.