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Finding the Fourth Proportional to 278.86, 418.20 and 114.28

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Solution

The fourth proportional to 278.86, 418.20 and 114.28 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.86 : 418.20 = 114.28 : x
  2. Step 2: Convert to fraction form
    278.86/418.20 = 114.28/x
  3. Step 3: Cross multiply
    278.86x = 418.20 × 114.28
  4. Step 4: Simplify right side
    278.86x = 47,791.90
  5. Step 5: Solve for x
    x = 47,791.90/278.86
  6. Step 6: Final answer
    x = 171.38

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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.