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Finding the Fourth Proportional to 140.65, 209.53 and 134.12

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Solution

The fourth proportional to 140.65, 209.53 and 134.12 is: 199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.65 : 209.53 = 134.12 : x
  2. Step 2: Convert to fraction form
    140.65/209.53 = 134.12/x
  3. Step 3: Cross multiply
    140.65x = 209.53 × 134.12
  4. Step 4: Simplify right side
    140.65x = 28,102.16
  5. Step 5: Solve for x
    x = 28,102.16/140.65
  6. Step 6: Final answer
    x = 199.81

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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.