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Finding the Fourth Proportional to 275.11, 379.67 and 150.78

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Solution

The fourth proportional to 275.11, 379.67 and 150.78 is: 208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.11 : 379.67 = 150.78 : x
  2. Step 2: Convert to fraction form
    275.11/379.67 = 150.78/x
  3. Step 3: Cross multiply
    275.11x = 379.67 × 150.78
  4. Step 4: Simplify right side
    275.11x = 57,245.18
  5. Step 5: Solve for x
    x = 57,245.18/275.11
  6. Step 6: Final answer
    x = 208.08

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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.