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Finding the Fourth Proportional to 221.95, 306.38 and 158.97

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Solution

The fourth proportional to 221.95, 306.38 and 158.97 is: 219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.95 : 306.38 = 158.97 : x
  2. Step 2: Convert to fraction form
    221.95/306.38 = 158.97/x
  3. Step 3: Cross multiply
    221.95x = 306.38 × 158.97
  4. Step 4: Simplify right side
    221.95x = 48,705.63
  5. Step 5: Solve for x
    x = 48,705.63/221.95
  6. Step 6: Final answer
    x = 219.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.