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Finding the Fourth Proportional to 278.32, 415.16 and 254.96

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Solution

The fourth proportional to 278.32, 415.16 and 254.96 is: 380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 415.16 = 254.96 : x
  2. Step 2: Convert to fraction form
    278.32/415.16 = 254.96/x
  3. Step 3: Cross multiply
    278.32x = 415.16 × 254.96
  4. Step 4: Simplify right side
    278.32x = 105,849.19
  5. Step 5: Solve for x
    x = 105,849.19/278.32
  6. Step 6: Final answer
    x = 380.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.