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Finding the Fourth Proportional to 260.77, 391.15 and 158.71

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Solution

The fourth proportional to 260.77, 391.15 and 158.71 is: 238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.77 : 391.15 = 158.71 : x
  2. Step 2: Convert to fraction form
    260.77/391.15 = 158.71/x
  3. Step 3: Cross multiply
    260.77x = 391.15 × 158.71
  4. Step 4: Simplify right side
    260.77x = 62,077.46
  5. Step 5: Solve for x
    x = 62,077.46/260.77
  6. Step 6: Final answer
    x = 238.06

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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.