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Finding the Fourth Proportional to 220.09, 328.37 and 209.77

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Solution

The fourth proportional to 220.09, 328.37 and 209.77 is: 312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.09 : 328.37 = 209.77 : x
  2. Step 2: Convert to fraction form
    220.09/328.37 = 209.77/x
  3. Step 3: Cross multiply
    220.09x = 328.37 × 209.77
  4. Step 4: Simplify right side
    220.09x = 68,882.17
  5. Step 5: Solve for x
    x = 68,882.17/220.09
  6. Step 6: Final answer
    x = 312.97

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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.