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Finding the Fourth Proportional to 218.71, 326.14 and 207.95

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Solution

The fourth proportional to 218.71, 326.14 and 207.95 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.71 : 326.14 = 207.95 : x
  2. Step 2: Convert to fraction form
    218.71/326.14 = 207.95/x
  3. Step 3: Cross multiply
    218.71x = 326.14 × 207.95
  4. Step 4: Simplify right side
    218.71x = 67,818.66
  5. Step 5: Solve for x
    x = 67,818.66/218.71
  6. Step 6: Final answer
    x = 310.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.