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Finding the Fourth Proportional to 140.96, 211.57 and 89.69

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Solution

The fourth proportional to 140.96, 211.57 and 89.69 is: 134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 211.57 = 89.69 : x
  2. Step 2: Convert to fraction form
    140.96/211.57 = 89.69/x
  3. Step 3: Cross multiply
    140.96x = 211.57 × 89.69
  4. Step 4: Simplify right side
    140.96x = 18,976.02
  5. Step 5: Solve for x
    x = 18,976.02/140.96
  6. Step 6: Final answer
    x = 134.62

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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.