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Finding the Fourth Proportional to 269.80, 402.29 and 257.92

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Solution

The fourth proportional to 269.80, 402.29 and 257.92 is: 384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.80 : 402.29 = 257.92 : x
  2. Step 2: Convert to fraction form
    269.80/402.29 = 257.92/x
  3. Step 3: Cross multiply
    269.80x = 402.29 × 257.92
  4. Step 4: Simplify right side
    269.80x = 103,758.64
  5. Step 5: Solve for x
    x = 103,758.64/269.80
  6. Step 6: Final answer
    x = 384.58

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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.