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Finding the Fourth Proportional to 230.98, 318.86 and 137.78

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Solution

The fourth proportional to 230.98, 318.86 and 137.78 is: 190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.98 : 318.86 = 137.78 : x
  2. Step 2: Convert to fraction form
    230.98/318.86 = 137.78/x
  3. Step 3: Cross multiply
    230.98x = 318.86 × 137.78
  4. Step 4: Simplify right side
    230.98x = 43,932.53
  5. Step 5: Solve for x
    x = 43,932.53/230.98
  6. Step 6: Final answer
    x = 190.20

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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.