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Finding the Fourth Proportional to 137.29, 188.53 and 115.42

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Solution

The fourth proportional to 137.29, 188.53 and 115.42 is: 158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.29 : 188.53 = 115.42 : x
  2. Step 2: Convert to fraction form
    137.29/188.53 = 115.42/x
  3. Step 3: Cross multiply
    137.29x = 188.53 × 115.42
  4. Step 4: Simplify right side
    137.29x = 21,760.13
  5. Step 5: Solve for x
    x = 21,760.13/137.29
  6. Step 6: Final answer
    x = 158.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.