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Finding the Fourth Proportional to 281.73, 387.51 and 231.58

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Solution

The fourth proportional to 281.73, 387.51 and 231.58 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.73 : 387.51 = 231.58 : x
  2. Step 2: Convert to fraction form
    281.73/387.51 = 231.58/x
  3. Step 3: Cross multiply
    281.73x = 387.51 × 231.58
  4. Step 4: Simplify right side
    281.73x = 89,739.57
  5. Step 5: Solve for x
    x = 89,739.57/281.73
  6. Step 6: Final answer
    x = 318.53

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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.