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Finding the Fourth Proportional to 188.81, 260.56 and 115.13

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Solution

The fourth proportional to 188.81, 260.56 and 115.13 is: 158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.81 : 260.56 = 115.13 : x
  2. Step 2: Convert to fraction form
    188.81/260.56 = 115.13/x
  3. Step 3: Cross multiply
    188.81x = 260.56 × 115.13
  4. Step 4: Simplify right side
    188.81x = 29,998.27
  5. Step 5: Solve for x
    x = 29,998.27/188.81
  6. Step 6: Final answer
    x = 158.88

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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.