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Finding the Fourth Proportional to 197.59, 272.54 and 150.88

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Solution

The fourth proportional to 197.59, 272.54 and 150.88 is: 208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.59 : 272.54 = 150.88 : x
  2. Step 2: Convert to fraction form
    197.59/272.54 = 150.88/x
  3. Step 3: Cross multiply
    197.59x = 272.54 × 150.88
  4. Step 4: Simplify right side
    197.59x = 41,120.84
  5. Step 5: Solve for x
    x = 41,120.84/197.59
  6. Step 6: Final answer
    x = 208.11

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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.