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Finding the Fourth Proportional to 197.71, 272.93 and 148.61

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Solution

The fourth proportional to 197.71, 272.93 and 148.61 is: 205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.71 : 272.93 = 148.61 : x
  2. Step 2: Convert to fraction form
    197.71/272.93 = 148.61/x
  3. Step 3: Cross multiply
    197.71x = 272.93 × 148.61
  4. Step 4: Simplify right side
    197.71x = 40,559.13
  5. Step 5: Solve for x
    x = 40,559.13/197.71
  6. Step 6: Final answer
    x = 205.14

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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.