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Finding the Fourth Proportional to 318.74, 478.51 and 270.95

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Solution

The fourth proportional to 318.74, 478.51 and 270.95 is: 406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.74 : 478.51 = 270.95 : x
  2. Step 2: Convert to fraction form
    318.74/478.51 = 270.95/x
  3. Step 3: Cross multiply
    318.74x = 478.51 × 270.95
  4. Step 4: Simplify right side
    318.74x = 129,649.21
  5. Step 5: Solve for x
    x = 129,649.21/318.74
  6. Step 6: Final answer
    x = 406.76

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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.