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Finding the Fourth Proportional to 140.90, 209.92 and 134

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Solution

The fourth proportional to 140.90, 209.92 and 134 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.90 : 209.92 = 134 : x
  2. Step 2: Convert to fraction form
    140.90/209.92 = 134/x
  3. Step 3: Cross multiply
    140.90x = 209.92 × 134
  4. Step 4: Simplify right side
    140.90x = 28,129.28
  5. Step 5: Solve for x
    x = 28,129.28/140.90
  6. Step 6: Final answer
    x = 199.64

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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.