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Finding the Fourth Proportional to 287.73, 431.53 and 82.31

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Solution

The fourth proportional to 287.73, 431.53 and 82.31 is: 123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.73 : 431.53 = 82.31 : x
  2. Step 2: Convert to fraction form
    287.73/431.53 = 82.31/x
  3. Step 3: Cross multiply
    287.73x = 431.53 × 82.31
  4. Step 4: Simplify right side
    287.73x = 35,516.87
  5. Step 5: Solve for x
    x = 35,516.87/287.73
  6. Step 6: Final answer
    x = 123.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.