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Finding the Fourth Proportional to 287.31, 431.09 and 282.71

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Solution

The fourth proportional to 287.31, 431.09 and 282.71 is: 424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.31 : 431.09 = 282.71 : x
  2. Step 2: Convert to fraction form
    287.31/431.09 = 282.71/x
  3. Step 3: Cross multiply
    287.31x = 431.09 × 282.71
  4. Step 4: Simplify right side
    287.31x = 121,871.75
  5. Step 5: Solve for x
    x = 121,871.75/287.31
  6. Step 6: Final answer
    x = 424.18

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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.