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Finding the Fourth Proportional to 197.61, 272.71 and 109.10

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Solution

The fourth proportional to 197.61, 272.71 and 109.10 is: 150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.61 : 272.71 = 109.10 : x
  2. Step 2: Convert to fraction form
    197.61/272.71 = 109.10/x
  3. Step 3: Cross multiply
    197.61x = 272.71 × 109.10
  4. Step 4: Simplify right side
    197.61x = 29,752.46
  5. Step 5: Solve for x
    x = 29,752.46/197.61
  6. Step 6: Final answer
    x = 150.56

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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.