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Finding the Fourth Proportional to 220.34, 328.07 and 219.32

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Solution

The fourth proportional to 220.34, 328.07 and 219.32 is: 326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.34 : 328.07 = 219.32 : x
  2. Step 2: Convert to fraction form
    220.34/328.07 = 219.32/x
  3. Step 3: Cross multiply
    220.34x = 328.07 × 219.32
  4. Step 4: Simplify right side
    220.34x = 71,949.58
  5. Step 5: Solve for x
    x = 71,949.58/220.34
  6. Step 6: Final answer
    x = 326.55

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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.