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Finding the Fourth Proportional to 141.56, 195.11 and 115.28

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Solution

The fourth proportional to 141.56, 195.11 and 115.28 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.56 : 195.11 = 115.28 : x
  2. Step 2: Convert to fraction form
    141.56/195.11 = 115.28/x
  3. Step 3: Cross multiply
    141.56x = 195.11 × 115.28
  4. Step 4: Simplify right side
    141.56x = 22,492.57
  5. Step 5: Solve for x
    x = 22,492.57/141.56
  6. Step 6: Final answer
    x = 158.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.