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Finding the Fourth Proportional to 197.84, 272.77 and 180.43

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Solution

The fourth proportional to 197.84, 272.77 and 180.43 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 272.77 = 180.43 : x
  2. Step 2: Convert to fraction form
    197.84/272.77 = 180.43/x
  3. Step 3: Cross multiply
    197.84x = 272.77 × 180.43
  4. Step 4: Simplify right side
    197.84x = 49,214.76
  5. Step 5: Solve for x
    x = 49,214.76/197.84
  6. Step 6: Final answer
    x = 248.76

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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.