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Finding the Fourth Proportional to 279.60, 388.42 and 271.44

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Solution

The fourth proportional to 279.60, 388.42 and 271.44 is: 377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.60 : 388.42 = 271.44 : x
  2. Step 2: Convert to fraction form
    279.60/388.42 = 271.44/x
  3. Step 3: Cross multiply
    279.60x = 388.42 × 271.44
  4. Step 4: Simplify right side
    279.60x = 105,432.72
  5. Step 5: Solve for x
    x = 105,432.72/279.60
  6. Step 6: Final answer
    x = 377.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.