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Finding the Fourth Proportional to 115.83, 158.96 and 103.61

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Solution

The fourth proportional to 115.83, 158.96 and 103.61 is: 142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 158.96 = 103.61 : x
  2. Step 2: Convert to fraction form
    115.83/158.96 = 103.61/x
  3. Step 3: Cross multiply
    115.83x = 158.96 × 103.61
  4. Step 4: Simplify right side
    115.83x = 16,470.50
  5. Step 5: Solve for x
    x = 16,470.50/115.83
  6. Step 6: Final answer
    x = 142.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.