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Finding the Fourth Proportional to 131.27, 197.74 and 121.24

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Solution

The fourth proportional to 131.27, 197.74 and 121.24 is: 182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.27 : 197.74 = 121.24 : x
  2. Step 2: Convert to fraction form
    131.27/197.74 = 121.24/x
  3. Step 3: Cross multiply
    131.27x = 197.74 × 121.24
  4. Step 4: Simplify right side
    131.27x = 23,973.39
  5. Step 5: Solve for x
    x = 23,973.39/131.27
  6. Step 6: Final answer
    x = 182.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.