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Finding the Fourth Proportional to 140.91, 211.12 and 116.67

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Solution

The fourth proportional to 140.91, 211.12 and 116.67 is: 174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.91 : 211.12 = 116.67 : x
  2. Step 2: Convert to fraction form
    140.91/211.12 = 116.67/x
  3. Step 3: Cross multiply
    140.91x = 211.12 × 116.67
  4. Step 4: Simplify right side
    140.91x = 24,632.53
  5. Step 5: Solve for x
    x = 24,632.53/140.91
  6. Step 6: Final answer
    x = 174.82

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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.