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Finding the Fourth Proportional to 131.06, 197.57 and 122.47

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Solution

The fourth proportional to 131.06, 197.57 and 122.47 is: 184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.06 : 197.57 = 122.47 : x
  2. Step 2: Convert to fraction form
    131.06/197.57 = 122.47/x
  3. Step 3: Cross multiply
    131.06x = 197.57 × 122.47
  4. Step 4: Simplify right side
    131.06x = 24,196.21
  5. Step 5: Solve for x
    x = 24,196.21/131.06
  6. Step 6: Final answer
    x = 184.63

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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.