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Finding the Fourth Proportional to 276.02, 380.86 and 171.13

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Solution

The fourth proportional to 276.02, 380.86 and 171.13 is: 236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.02 : 380.86 = 171.13 : x
  2. Step 2: Convert to fraction form
    276.02/380.86 = 171.13/x
  3. Step 3: Cross multiply
    276.02x = 380.86 × 171.13
  4. Step 4: Simplify right side
    276.02x = 65,175.72
  5. Step 5: Solve for x
    x = 65,175.72/276.02
  6. Step 6: Final answer
    x = 236.13

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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.