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Finding the Fourth Proportional to 232.47, 318.87 and 203.31

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Solution

The fourth proportional to 232.47, 318.87 and 203.31 is: 278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.47 : 318.87 = 203.31 : x
  2. Step 2: Convert to fraction form
    232.47/318.87 = 203.31/x
  3. Step 3: Cross multiply
    232.47x = 318.87 × 203.31
  4. Step 4: Simplify right side
    232.47x = 64,829.46
  5. Step 5: Solve for x
    x = 64,829.46/232.47
  6. Step 6: Final answer
    x = 278.87

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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.