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Finding the Fourth Proportional to 218.25, 326.30 and 207.18

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Solution

The fourth proportional to 218.25, 326.30 and 207.18 is: 309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.25 : 326.30 = 207.18 : x
  2. Step 2: Convert to fraction form
    218.25/326.30 = 207.18/x
  3. Step 3: Cross multiply
    218.25x = 326.30 × 207.18
  4. Step 4: Simplify right side
    218.25x = 67,601.80
  5. Step 5: Solve for x
    x = 67,601.80/218.25
  6. Step 6: Final answer
    x = 309.74

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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.