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Finding the Fourth Proportional to 278.78, 383.87 and 229.57

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Solution

The fourth proportional to 278.78, 383.87 and 229.57 is: 316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.78 : 383.87 = 229.57 : x
  2. Step 2: Convert to fraction form
    278.78/383.87 = 229.57/x
  3. Step 3: Cross multiply
    278.78x = 383.87 × 229.57
  4. Step 4: Simplify right side
    278.78x = 88,124.65
  5. Step 5: Solve for x
    x = 88,124.65/278.78
  6. Step 6: Final answer
    x = 316.11

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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.