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Finding the Fourth Proportional to 218.60, 326.35 and 194.30

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Solution

The fourth proportional to 218.60, 326.35 and 194.30 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.60 : 326.35 = 194.30 : x
  2. Step 2: Convert to fraction form
    218.60/326.35 = 194.30/x
  3. Step 3: Cross multiply
    218.60x = 326.35 × 194.30
  4. Step 4: Simplify right side
    218.60x = 63,407.69
  5. Step 5: Solve for x
    x = 63,407.69/218.60
  6. Step 6: Final answer
    x = 290.07

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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.