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Finding the Fourth Proportional to 140.70, 209.52 and 137.10

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Solution

The fourth proportional to 140.70, 209.52 and 137.10 is: 204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.70 : 209.52 = 137.10 : x
  2. Step 2: Convert to fraction form
    140.70/209.52 = 137.10/x
  3. Step 3: Cross multiply
    140.70x = 209.52 × 137.10
  4. Step 4: Simplify right side
    140.70x = 28,725.19
  5. Step 5: Solve for x
    x = 28,725.19/140.70
  6. Step 6: Final answer
    x = 204.16

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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.