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Finding the Fourth Proportional to 391.17, 586.35 and 159.96

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Solution

The fourth proportional to 391.17, 586.35 and 159.96 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.17 : 586.35 = 159.96 : x
  2. Step 2: Convert to fraction form
    391.17/586.35 = 159.96/x
  3. Step 3: Cross multiply
    391.17x = 586.35 × 159.96
  4. Step 4: Simplify right side
    391.17x = 93,792.55
  5. Step 5: Solve for x
    x = 93,792.55/391.17
  6. Step 6: Final answer
    x = 239.77

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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.