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Finding the Fourth Proportional to 141.50, 211.38 and 89.72

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Solution

The fourth proportional to 141.50, 211.38 and 89.72 is: 134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.50 : 211.38 = 89.72 : x
  2. Step 2: Convert to fraction form
    141.50/211.38 = 89.72/x
  3. Step 3: Cross multiply
    141.50x = 211.38 × 89.72
  4. Step 4: Simplify right side
    141.50x = 18,965.88
  5. Step 5: Solve for x
    x = 18,965.88/141.50
  6. Step 6: Final answer
    x = 134.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.