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Finding the Fourth Proportional to 218.78, 326.79 and 170.18

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Solution

The fourth proportional to 218.78, 326.79 and 170.18 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.78 : 326.79 = 170.18 : x
  2. Step 2: Convert to fraction form
    218.78/326.79 = 170.18/x
  3. Step 3: Cross multiply
    218.78x = 326.79 × 170.18
  4. Step 4: Simplify right side
    218.78x = 55,612.27
  5. Step 5: Solve for x
    x = 55,612.27/218.78
  6. Step 6: Final answer
    x = 254.19

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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.