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Finding the Fourth Proportional to 319.48, 478.41 and 270.88

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Solution

The fourth proportional to 319.48, 478.41 and 270.88 is: 405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.48 : 478.41 = 270.88 : x
  2. Step 2: Convert to fraction form
    319.48/478.41 = 270.88/x
  3. Step 3: Cross multiply
    319.48x = 478.41 × 270.88
  4. Step 4: Simplify right side
    319.48x = 129,591.70
  5. Step 5: Solve for x
    x = 129,591.70/319.48
  6. Step 6: Final answer
    x = 405.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.