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Finding the Fourth Proportional to 137.38, 189.62 and 115.52

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Solution

The fourth proportional to 137.38, 189.62 and 115.52 is: 159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.38 : 189.62 = 115.52 : x
  2. Step 2: Convert to fraction form
    137.38/189.62 = 115.52/x
  3. Step 3: Cross multiply
    137.38x = 189.62 × 115.52
  4. Step 4: Simplify right side
    137.38x = 21,904.90
  5. Step 5: Solve for x
    x = 21,904.90/137.38
  6. Step 6: Final answer
    x = 159.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.