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Finding the Fourth Proportional to 183.82, 275.31 and 147.70

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Solution

The fourth proportional to 183.82, 275.31 and 147.70 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.82 : 275.31 = 147.70 : x
  2. Step 2: Convert to fraction form
    183.82/275.31 = 147.70/x
  3. Step 3: Cross multiply
    183.82x = 275.31 × 147.70
  4. Step 4: Simplify right side
    183.82x = 40,663.29
  5. Step 5: Solve for x
    x = 40,663.29/183.82
  6. Step 6: Final answer
    x = 221.21

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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.