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Finding the Fourth Proportional to 137.53, 207.46 and 130.15

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Solution

The fourth proportional to 137.53, 207.46 and 130.15 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.53 : 207.46 = 130.15 : x
  2. Step 2: Convert to fraction form
    137.53/207.46 = 130.15/x
  3. Step 3: Cross multiply
    137.53x = 207.46 × 130.15
  4. Step 4: Simplify right side
    137.53x = 27,000.92
  5. Step 5: Solve for x
    x = 27,000.92/137.53
  6. Step 6: Final answer
    x = 196.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.