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Finding the Fourth Proportional to 285.71, 426.67 and 249.26

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Solution

The fourth proportional to 285.71, 426.67 and 249.26 is: 372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.71 : 426.67 = 249.26 : x
  2. Step 2: Convert to fraction form
    285.71/426.67 = 249.26/x
  3. Step 3: Cross multiply
    285.71x = 426.67 × 249.26
  4. Step 4: Simplify right side
    285.71x = 106,349.01
  5. Step 5: Solve for x
    x = 106,349.01/285.71
  6. Step 6: Final answer
    x = 372.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.