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Finding the Fourth Proportional to 220.11, 328.67 and 197.02

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Solution

The fourth proportional to 220.11, 328.67 and 197.02 is: 294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.11 : 328.67 = 197.02 : x
  2. Step 2: Convert to fraction form
    220.11/328.67 = 197.02/x
  3. Step 3: Cross multiply
    220.11x = 328.67 × 197.02
  4. Step 4: Simplify right side
    220.11x = 64,754.56
  5. Step 5: Solve for x
    x = 64,754.56/220.11
  6. Step 6: Final answer
    x = 294.19

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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.