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Finding the Fourth Proportional to 278.87, 417.84 and 169.21

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Solution

The fourth proportional to 278.87, 417.84 and 169.21 is: 253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.87 : 417.84 = 169.21 : x
  2. Step 2: Convert to fraction form
    278.87/417.84 = 169.21/x
  3. Step 3: Cross multiply
    278.87x = 417.84 × 169.21
  4. Step 4: Simplify right side
    278.87x = 70,704.05
  5. Step 5: Solve for x
    x = 70,704.05/278.87
  6. Step 6: Final answer
    x = 253.54

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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.