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Finding the Fourth Proportional to 219.05, 328.00 and 132.26

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Solution

The fourth proportional to 219.05, 328.00 and 132.26 is: 198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.05 : 328.00 = 132.26 : x
  2. Step 2: Convert to fraction form
    219.05/328.00 = 132.26/x
  3. Step 3: Cross multiply
    219.05x = 328.00 × 132.26
  4. Step 4: Simplify right side
    219.05x = 43,381.77
  5. Step 5: Solve for x
    x = 43,381.77/219.05
  6. Step 6: Final answer
    x = 198.04

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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.