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Finding the Fourth Proportional to 278.12, 417.41 and 115.82

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Solution

The fourth proportional to 278.12, 417.41 and 115.82 is: 173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 417.41 = 115.82 : x
  2. Step 2: Convert to fraction form
    278.12/417.41 = 115.82/x
  3. Step 3: Cross multiply
    278.12x = 417.41 × 115.82
  4. Step 4: Simplify right side
    278.12x = 48,341.76
  5. Step 5: Solve for x
    x = 48,341.76/278.12
  6. Step 6: Final answer
    x = 173.82

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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.