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Finding the Fourth Proportional to 278.92, 385.00 and 232.82

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Solution

The fourth proportional to 278.92, 385.00 and 232.82 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.92 : 385.00 = 232.82 : x
  2. Step 2: Convert to fraction form
    278.92/385.00 = 232.82/x
  3. Step 3: Cross multiply
    278.92x = 385.00 × 232.82
  4. Step 4: Simplify right side
    278.92x = 89,638.11
  5. Step 5: Solve for x
    x = 89,638.11/278.92
  6. Step 6: Final answer
    x = 321.38

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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.