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Finding the Fourth Proportional to 278.17, 417.25 and 150.73

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Solution

The fourth proportional to 278.17, 417.25 and 150.73 is: 226.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.17 : 417.25 = 150.73 : x
  2. Step 2: Convert to fraction form
    278.17/417.25 = 150.73/x
  3. Step 3: Cross multiply
    278.17x = 417.25 × 150.73
  4. Step 4: Simplify right side
    278.17x = 62,891.24
  5. Step 5: Solve for x
    x = 62,891.24/278.17
  6. Step 6: Final answer
    x = 226.09

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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.