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Finding the Fourth Proportional to 219.32, 329.05 and 97.59

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Solution

The fourth proportional to 219.32, 329.05 and 97.59 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.32 : 329.05 = 97.59 : x
  2. Step 2: Convert to fraction form
    219.32/329.05 = 97.59/x
  3. Step 3: Cross multiply
    219.32x = 329.05 × 97.59
  4. Step 4: Simplify right side
    219.32x = 32,112.11
  5. Step 5: Solve for x
    x = 32,112.11/219.32
  6. Step 6: Final answer
    x = 146.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.