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Finding the Fourth Proportional to 230.70, 318.23 and 136.13

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Solution

The fourth proportional to 230.70, 318.23 and 136.13 is: 187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 318.23 = 136.13 : x
  2. Step 2: Convert to fraction form
    230.70/318.23 = 136.13/x
  3. Step 3: Cross multiply
    230.70x = 318.23 × 136.13
  4. Step 4: Simplify right side
    230.70x = 43,320.68
  5. Step 5: Solve for x
    x = 43,320.68/230.70
  6. Step 6: Final answer
    x = 187.78

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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.