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Finding the Fourth Proportional to 275.22, 379.78 and 158.78

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Solution

The fourth proportional to 275.22, 379.78 and 158.78 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 379.78 = 158.78 : x
  2. Step 2: Convert to fraction form
    275.22/379.78 = 158.78/x
  3. Step 3: Cross multiply
    275.22x = 379.78 × 158.78
  4. Step 4: Simplify right side
    275.22x = 60,302.02
  5. Step 5: Solve for x
    x = 60,302.02/275.22
  6. Step 6: Final answer
    x = 219.10

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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.