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Finding the Fourth Proportional to 220.25, 328.73 and 191.19

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Solution

The fourth proportional to 220.25, 328.73 and 191.19 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.25 : 328.73 = 191.19 : x
  2. Step 2: Convert to fraction form
    220.25/328.73 = 191.19/x
  3. Step 3: Cross multiply
    220.25x = 328.73 × 191.19
  4. Step 4: Simplify right side
    220.25x = 62,850.17
  5. Step 5: Solve for x
    x = 62,850.17/220.25
  6. Step 6: Final answer
    x = 285.36

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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.