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Finding the Fourth Proportional to 220.34, 330.69 and 191.54

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Solution

The fourth proportional to 220.34, 330.69 and 191.54 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.34 : 330.69 = 191.54 : x
  2. Step 2: Convert to fraction form
    220.34/330.69 = 191.54/x
  3. Step 3: Cross multiply
    220.34x = 330.69 × 191.54
  4. Step 4: Simplify right side
    220.34x = 63,340.36
  5. Step 5: Solve for x
    x = 63,340.36/220.34
  6. Step 6: Final answer
    x = 287.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.