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Finding the Fourth Proportional to 219.05, 328.34 and 110.85

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Solution

The fourth proportional to 219.05, 328.34 and 110.85 is: 166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.05 : 328.34 = 110.85 : x
  2. Step 2: Convert to fraction form
    219.05/328.34 = 110.85/x
  3. Step 3: Cross multiply
    219.05x = 328.34 × 110.85
  4. Step 4: Simplify right side
    219.05x = 36,396.77
  5. Step 5: Solve for x
    x = 36,396.77/219.05
  6. Step 6: Final answer
    x = 166.16

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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.