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Finding the Fourth Proportional to 185.27, 276.27 and 172.70

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Solution

The fourth proportional to 185.27, 276.27 and 172.70 is: 257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.27 : 276.27 = 172.70 : x
  2. Step 2: Convert to fraction form
    185.27/276.27 = 172.70/x
  3. Step 3: Cross multiply
    185.27x = 276.27 × 172.70
  4. Step 4: Simplify right side
    185.27x = 47,713.36
  5. Step 5: Solve for x
    x = 47,713.36/185.27
  6. Step 6: Final answer
    x = 257.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.