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Finding the Fourth Proportional to 230.57, 318.09 and 147.66

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Solution

The fourth proportional to 230.57, 318.09 and 147.66 is: 203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.57 : 318.09 = 147.66 : x
  2. Step 2: Convert to fraction form
    230.57/318.09 = 147.66/x
  3. Step 3: Cross multiply
    230.57x = 318.09 × 147.66
  4. Step 4: Simplify right side
    230.57x = 46,969.42
  5. Step 5: Solve for x
    x = 46,969.42/230.57
  6. Step 6: Final answer
    x = 203.71

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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.