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Finding the Fourth Proportional to 220.68, 328.59 and 217.41

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Solution

The fourth proportional to 220.68, 328.59 and 217.41 is: 323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.68 : 328.59 = 217.41 : x
  2. Step 2: Convert to fraction form
    220.68/328.59 = 217.41/x
  3. Step 3: Cross multiply
    220.68x = 328.59 × 217.41
  4. Step 4: Simplify right side
    220.68x = 71,438.75
  5. Step 5: Solve for x
    x = 71,438.75/220.68
  6. Step 6: Final answer
    x = 323.72

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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.