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Finding the Fourth Proportional to 220.52, 328.81 and 216.42

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Solution

The fourth proportional to 220.52, 328.81 and 216.42 is: 322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.52 : 328.81 = 216.42 : x
  2. Step 2: Convert to fraction form
    220.52/328.81 = 216.42/x
  3. Step 3: Cross multiply
    220.52x = 328.81 × 216.42
  4. Step 4: Simplify right side
    220.52x = 71,161.54
  5. Step 5: Solve for x
    x = 71,161.54/220.52
  6. Step 6: Final answer
    x = 322.70

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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.