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Finding the Fourth Proportional to 131.31, 197.95 and 122.72

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Solution

The fourth proportional to 131.31, 197.95 and 122.72 is: 185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.31 : 197.95 = 122.72 : x
  2. Step 2: Convert to fraction form
    131.31/197.95 = 122.72/x
  3. Step 3: Cross multiply
    131.31x = 197.95 × 122.72
  4. Step 4: Simplify right side
    131.31x = 24,292.42
  5. Step 5: Solve for x
    x = 24,292.42/131.31
  6. Step 6: Final answer
    x = 185.00

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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.