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Finding the Fourth Proportional to 279.42, 415.54 and 270.78

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Solution

The fourth proportional to 279.42, 415.54 and 270.78 is: 402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.42 : 415.54 = 270.78 : x
  2. Step 2: Convert to fraction form
    279.42/415.54 = 270.78/x
  3. Step 3: Cross multiply
    279.42x = 415.54 × 270.78
  4. Step 4: Simplify right side
    279.42x = 112,519.92
  5. Step 5: Solve for x
    x = 112,519.92/279.42
  6. Step 6: Final answer
    x = 402.69

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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.