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Finding the Fourth Proportional to 285.26, 392.99 and 269.87

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Solution

The fourth proportional to 285.26, 392.99 and 269.87 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 392.99 = 269.87 : x
  2. Step 2: Convert to fraction form
    285.26/392.99 = 269.87/x
  3. Step 3: Cross multiply
    285.26x = 392.99 × 269.87
  4. Step 4: Simplify right side
    285.26x = 106,052.90
  5. Step 5: Solve for x
    x = 106,052.90/285.26
  6. Step 6: Final answer
    x = 371.78

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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.