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Finding the Fourth Proportional to 218.41, 326.17 and 175.14

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Solution

The fourth proportional to 218.41, 326.17 and 175.14 is: 261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.41 : 326.17 = 175.14 : x
  2. Step 2: Convert to fraction form
    218.41/326.17 = 175.14/x
  3. Step 3: Cross multiply
    218.41x = 326.17 × 175.14
  4. Step 4: Simplify right side
    218.41x = 57,124.60
  5. Step 5: Solve for x
    x = 57,124.60/218.41
  6. Step 6: Final answer
    x = 261.55

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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.