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Finding the Fourth Proportional to 278.25, 417.15 and 123.95

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Solution

The fourth proportional to 278.25, 417.15 and 123.95 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 417.15 = 123.95 : x
  2. Step 2: Convert to fraction form
    278.25/417.15 = 123.95/x
  3. Step 3: Cross multiply
    278.25x = 417.15 × 123.95
  4. Step 4: Simplify right side
    278.25x = 51,704.44
  5. Step 5: Solve for x
    x = 51,704.44/278.25
  6. Step 6: Final answer
    x = 185.82

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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.