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Finding the Fourth Proportional to 180.12, 247.71 and 143.22

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Solution

The fourth proportional to 180.12, 247.71 and 143.22 is: 196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 247.71 = 143.22 : x
  2. Step 2: Convert to fraction form
    180.12/247.71 = 143.22/x
  3. Step 3: Cross multiply
    180.12x = 247.71 × 143.22
  4. Step 4: Simplify right side
    180.12x = 35,476.29
  5. Step 5: Solve for x
    x = 35,476.29/180.12
  6. Step 6: Final answer
    x = 196.96

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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.