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Finding the Fourth Proportional to 278.90, 417.87 and 197.61

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Solution

The fourth proportional to 278.90, 417.87 and 197.61 is: 296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.90 : 417.87 = 197.61 : x
  2. Step 2: Convert to fraction form
    278.90/417.87 = 197.61/x
  3. Step 3: Cross multiply
    278.90x = 417.87 × 197.61
  4. Step 4: Simplify right side
    278.90x = 82,575.29
  5. Step 5: Solve for x
    x = 82,575.29/278.90
  6. Step 6: Final answer
    x = 296.07

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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.