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Finding the Fourth Proportional to 278.31, 418.11 and 162.83

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Solution

The fourth proportional to 278.31, 418.11 and 162.83 is: 244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 418.11 = 162.83 : x
  2. Step 2: Convert to fraction form
    278.31/418.11 = 162.83/x
  3. Step 3: Cross multiply
    278.31x = 418.11 × 162.83
  4. Step 4: Simplify right side
    278.31x = 68,082.15
  5. Step 5: Solve for x
    x = 68,082.15/278.31
  6. Step 6: Final answer
    x = 244.63

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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.