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Finding the Fourth Proportional to 180.16, 248.50 and 143.44

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Solution

The fourth proportional to 180.16, 248.50 and 143.44 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 248.50 = 143.44 : x
  2. Step 2: Convert to fraction form
    180.16/248.50 = 143.44/x
  3. Step 3: Cross multiply
    180.16x = 248.50 × 143.44
  4. Step 4: Simplify right side
    180.16x = 35,644.84
  5. Step 5: Solve for x
    x = 35,644.84/180.16
  6. Step 6: Final answer
    x = 197.85

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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.