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Finding the Fourth Proportional to 141.10, 211.35 and 89.71

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Solution

The fourth proportional to 141.10, 211.35 and 89.71 is: 134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.10 : 211.35 = 89.71 : x
  2. Step 2: Convert to fraction form
    141.10/211.35 = 89.71/x
  3. Step 3: Cross multiply
    141.10x = 211.35 × 89.71
  4. Step 4: Simplify right side
    141.10x = 18,960.95
  5. Step 5: Solve for x
    x = 18,960.95/141.10
  6. Step 6: Final answer
    x = 134.38

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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.