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Finding the Fourth Proportional to 275.92, 380.70 and 171.12

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Solution

The fourth proportional to 275.92, 380.70 and 171.12 is: 236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 380.70 = 171.12 : x
  2. Step 2: Convert to fraction form
    275.92/380.70 = 171.12/x
  3. Step 3: Cross multiply
    275.92x = 380.70 × 171.12
  4. Step 4: Simplify right side
    275.92x = 65,145.38
  5. Step 5: Solve for x
    x = 65,145.38/275.92
  6. Step 6: Final answer
    x = 236.10

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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.