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Finding the Fourth Proportional to 219.12, 326.82 and 178.08

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Solution

The fourth proportional to 219.12, 326.82 and 178.08 is: 265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.12 : 326.82 = 178.08 : x
  2. Step 2: Convert to fraction form
    219.12/326.82 = 178.08/x
  3. Step 3: Cross multiply
    219.12x = 326.82 × 178.08
  4. Step 4: Simplify right side
    219.12x = 58,200.11
  5. Step 5: Solve for x
    x = 58,200.11/219.12
  6. Step 6: Final answer
    x = 265.61

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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.