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Finding the Fourth Proportional to 102.96, 141.41 and 86.57

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Solution

The fourth proportional to 102.96, 141.41 and 86.57 is: 118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 141.41 = 86.57 : x
  2. Step 2: Convert to fraction form
    102.96/141.41 = 86.57/x
  3. Step 3: Cross multiply
    102.96x = 141.41 × 86.57
  4. Step 4: Simplify right side
    102.96x = 12,240.72
  5. Step 5: Solve for x
    x = 12,240.72/102.96
  6. Step 6: Final answer
    x = 118.89

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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.