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Finding the Fourth Proportional to 278.91, 385.16 and 180.77

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Solution

The fourth proportional to 278.91, 385.16 and 180.77 is: 249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.91 : 385.16 = 180.77 : x
  2. Step 2: Convert to fraction form
    278.91/385.16 = 180.77/x
  3. Step 3: Cross multiply
    278.91x = 385.16 × 180.77
  4. Step 4: Simplify right side
    278.91x = 69,622.54
  5. Step 5: Solve for x
    x = 69,622.54/278.91
  6. Step 6: Final answer
    x = 249.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.