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Finding the Fourth Proportional to 278.06, 416.78 and 123.82

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Solution

The fourth proportional to 278.06, 416.78 and 123.82 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 416.78 = 123.82 : x
  2. Step 2: Convert to fraction form
    278.06/416.78 = 123.82/x
  3. Step 3: Cross multiply
    278.06x = 416.78 × 123.82
  4. Step 4: Simplify right side
    278.06x = 51,605.70
  5. Step 5: Solve for x
    x = 51,605.70/278.06
  6. Step 6: Final answer
    x = 185.59

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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.