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Finding the Fourth Proportional to 220.34, 330.22 and 189.70

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Solution

The fourth proportional to 220.34, 330.22 and 189.70 is: 284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.34 : 330.22 = 189.70 : x
  2. Step 2: Convert to fraction form
    220.34/330.22 = 189.70/x
  3. Step 3: Cross multiply
    220.34x = 330.22 × 189.70
  4. Step 4: Simplify right side
    220.34x = 62,642.73
  5. Step 5: Solve for x
    x = 62,642.73/220.34
  6. Step 6: Final answer
    x = 284.30

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