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Finding the Fourth Proportional to 318.80, 439.81 and 213.95

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Solution

The fourth proportional to 318.80, 439.81 and 213.95 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.80 : 439.81 = 213.95 : x
  2. Step 2: Convert to fraction form
    318.80/439.81 = 213.95/x
  3. Step 3: Cross multiply
    318.80x = 439.81 × 213.95
  4. Step 4: Simplify right side
    318.80x = 94,099.28
  5. Step 5: Solve for x
    x = 94,099.28/318.80
  6. Step 6: Final answer
    x = 295.16

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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.