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Finding the Fourth Proportional to 278.16, 418.84 and 229.87

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Solution

The fourth proportional to 278.16, 418.84 and 229.87 is: 346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 418.84 = 229.87 : x
  2. Step 2: Convert to fraction form
    278.16/418.84 = 229.87/x
  3. Step 3: Cross multiply
    278.16x = 418.84 × 229.87
  4. Step 4: Simplify right side
    278.16x = 96,278.75
  5. Step 5: Solve for x
    x = 96,278.75/278.16
  6. Step 6: Final answer
    x = 346.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.