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Finding the Fourth Proportional to 275.82, 414.22 and 147.66

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Solution

The fourth proportional to 275.82, 414.22 and 147.66 is: 221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 414.22 = 147.66 : x
  2. Step 2: Convert to fraction form
    275.82/414.22 = 147.66/x
  3. Step 3: Cross multiply
    275.82x = 414.22 × 147.66
  4. Step 4: Simplify right side
    275.82x = 61,163.73
  5. Step 5: Solve for x
    x = 61,163.73/275.82
  6. Step 6: Final answer
    x = 221.75

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Why These Related Problems?

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