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Finding the Fourth Proportional to 269.76, 405.12 and 257.76

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Solution

The fourth proportional to 269.76, 405.12 and 257.76 is: 387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 405.12 = 257.76 : x
  2. Step 2: Convert to fraction form
    269.76/405.12 = 257.76/x
  3. Step 3: Cross multiply
    269.76x = 405.12 × 257.76
  4. Step 4: Simplify right side
    269.76x = 104,423.73
  5. Step 5: Solve for x
    x = 104,423.73/269.76
  6. Step 6: Final answer
    x = 387.10

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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.