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Finding the Fourth Proportional to 115.84, 158.90 and 113.44

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Solution

The fourth proportional to 115.84, 158.90 and 113.44 is: 155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 158.90 = 113.44 : x
  2. Step 2: Convert to fraction form
    115.84/158.90 = 113.44/x
  3. Step 3: Cross multiply
    115.84x = 158.90 × 113.44
  4. Step 4: Simplify right side
    115.84x = 18,025.62
  5. Step 5: Solve for x
    x = 18,025.62/115.84
  6. Step 6: Final answer
    x = 155.61

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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.