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Finding the Fourth Proportional to 278.54, 418.65 and 187.82

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Solution

The fourth proportional to 278.54, 418.65 and 187.82 is: 282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 418.65 = 187.82 : x
  2. Step 2: Convert to fraction form
    278.54/418.65 = 187.82/x
  3. Step 3: Cross multiply
    278.54x = 418.65 × 187.82
  4. Step 4: Simplify right side
    278.54x = 78,630.84
  5. Step 5: Solve for x
    x = 78,630.84/278.54
  6. Step 6: Final answer
    x = 282.30

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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.