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Finding the Fourth Proportional to 219.41, 330.42 and 158.97

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Solution

The fourth proportional to 219.41, 330.42 and 158.97 is: 239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.41 : 330.42 = 158.97 : x
  2. Step 2: Convert to fraction form
    219.41/330.42 = 158.97/x
  3. Step 3: Cross multiply
    219.41x = 330.42 × 158.97
  4. Step 4: Simplify right side
    219.41x = 52,524.42
  5. Step 5: Solve for x
    x = 52,524.42/219.41
  6. Step 6: Final answer
    x = 239.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.