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Finding the Fourth Proportional to 285.65, 426.23 and 248.75

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Solution

The fourth proportional to 285.65, 426.23 and 248.75 is: 371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.65 : 426.23 = 248.75 : x
  2. Step 2: Convert to fraction form
    285.65/426.23 = 248.75/x
  3. Step 3: Cross multiply
    285.65x = 426.23 × 248.75
  4. Step 4: Simplify right side
    285.65x = 106,023.20
  5. Step 5: Solve for x
    x = 106,023.20/285.65
  6. Step 6: Final answer
    x = 371.17

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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.