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Finding the Fourth Proportional to 278.52, 414.98 and 269.34

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Solution

The fourth proportional to 278.52, 414.98 and 269.34 is: 401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 414.98 = 269.34 : x
  2. Step 2: Convert to fraction form
    278.52/414.98 = 269.34/x
  3. Step 3: Cross multiply
    278.52x = 414.98 × 269.34
  4. Step 4: Simplify right side
    278.52x = 111,769.37
  5. Step 5: Solve for x
    x = 111,769.37/278.52
  6. Step 6: Final answer
    x = 401.30

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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.