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Finding the Fourth Proportional to 278.64, 419.84 and 249.17

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Solution

The fourth proportional to 278.64, 419.84 and 249.17 is: 375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 419.84 = 249.17 : x
  2. Step 2: Convert to fraction form
    278.64/419.84 = 249.17/x
  3. Step 3: Cross multiply
    278.64x = 419.84 × 249.17
  4. Step 4: Simplify right side
    278.64x = 104,608.19
  5. Step 5: Solve for x
    x = 104,608.19/278.64
  6. Step 6: Final answer
    x = 375.42

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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.