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Finding the Fourth Proportional to 278.09, 417.14 and 169.86

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Solution

The fourth proportional to 278.09, 417.14 and 169.86 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.09 : 417.14 = 169.86 : x
  2. Step 2: Convert to fraction form
    278.09/417.14 = 169.86/x
  3. Step 3: Cross multiply
    278.09x = 417.14 × 169.86
  4. Step 4: Simplify right side
    278.09x = 70,852.99
  5. Step 5: Solve for x
    x = 70,852.99/278.09
  6. Step 6: Final answer
    x = 254.78

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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.