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Finding the Fourth Proportional to 318.47, 439.20 and 271.80

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Solution

The fourth proportional to 318.47, 439.20 and 271.80 is: 374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 439.20 = 271.80 : x
  2. Step 2: Convert to fraction form
    318.47/439.20 = 271.80/x
  3. Step 3: Cross multiply
    318.47x = 439.20 × 271.80
  4. Step 4: Simplify right side
    318.47x = 119,374.56
  5. Step 5: Solve for x
    x = 119,374.56/318.47
  6. Step 6: Final answer
    x = 374.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.