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Finding the Fourth Proportional to 251.81, 379.08 and 180.17

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Solution

The fourth proportional to 251.81, 379.08 and 180.17 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.81 : 379.08 = 180.17 : x
  2. Step 2: Convert to fraction form
    251.81/379.08 = 180.17/x
  3. Step 3: Cross multiply
    251.81x = 379.08 × 180.17
  4. Step 4: Simplify right side
    251.81x = 68,297.94
  5. Step 5: Solve for x
    x = 68,297.94/251.81
  6. Step 6: Final answer
    x = 271.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.