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Finding the Fourth Proportional to 318.71, 440.03 and 213.95

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Solution

The fourth proportional to 318.71, 440.03 and 213.95 is: 295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.71 : 440.03 = 213.95 : x
  2. Step 2: Convert to fraction form
    318.71/440.03 = 213.95/x
  3. Step 3: Cross multiply
    318.71x = 440.03 × 213.95
  4. Step 4: Simplify right side
    318.71x = 94,144.42
  5. Step 5: Solve for x
    x = 94,144.42/318.71
  6. Step 6: Final answer
    x = 295.40

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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.