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Finding the Fourth Proportional to 278.82, 414.95 and 269.82

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Solution

The fourth proportional to 278.82, 414.95 and 269.82 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 414.95 = 269.82 : x
  2. Step 2: Convert to fraction form
    278.82/414.95 = 269.82/x
  3. Step 3: Cross multiply
    278.82x = 414.95 × 269.82
  4. Step 4: Simplify right side
    278.82x = 111,960.46
  5. Step 5: Solve for x
    x = 111,960.46/278.82
  6. Step 6: Final answer
    x = 401.55

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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.