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Finding the Fourth Proportional to 278.34, 415.57 and 261.96

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Solution

The fourth proportional to 278.34, 415.57 and 261.96 is: 391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 415.57 = 261.96 : x
  2. Step 2: Convert to fraction form
    278.34/415.57 = 261.96/x
  3. Step 3: Cross multiply
    278.34x = 415.57 × 261.96
  4. Step 4: Simplify right side
    278.34x = 108,862.72
  5. Step 5: Solve for x
    x = 108,862.72/278.34
  6. Step 6: Final answer
    x = 391.11

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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.