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Finding the Fourth Proportional to 220.26, 328.08 and 219.84

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Solution

The fourth proportional to 220.26, 328.08 and 219.84 is: 327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.26 : 328.08 = 219.84 : x
  2. Step 2: Convert to fraction form
    220.26/328.08 = 219.84/x
  3. Step 3: Cross multiply
    220.26x = 328.08 × 219.84
  4. Step 4: Simplify right side
    220.26x = 72,125.11
  5. Step 5: Solve for x
    x = 72,125.11/220.26
  6. Step 6: Final answer
    x = 327.45

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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.