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Finding the Fourth Proportional to 185.29, 276.41 and 172.19

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Solution

The fourth proportional to 185.29, 276.41 and 172.19 is: 256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.29 : 276.41 = 172.19 : x
  2. Step 2: Convert to fraction form
    185.29/276.41 = 172.19/x
  3. Step 3: Cross multiply
    185.29x = 276.41 × 172.19
  4. Step 4: Simplify right side
    185.29x = 47,595.04
  5. Step 5: Solve for x
    x = 47,595.04/185.29
  6. Step 6: Final answer
    x = 256.87

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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.