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Finding the Fourth Proportional to 218.83, 326.54 and 195.75

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Solution

The fourth proportional to 218.83, 326.54 and 195.75 is: 292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.83 : 326.54 = 195.75 : x
  2. Step 2: Convert to fraction form
    218.83/326.54 = 195.75/x
  3. Step 3: Cross multiply
    218.83x = 326.54 × 195.75
  4. Step 4: Simplify right side
    218.83x = 63,920.21
  5. Step 5: Solve for x
    x = 63,920.21/218.83
  6. Step 6: Final answer
    x = 292.10

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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.