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Finding the Fourth Proportional to 131.22, 197.91 and 113.40

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Solution

The fourth proportional to 131.22, 197.91 and 113.40 is: 171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.22 : 197.91 = 113.40 : x
  2. Step 2: Convert to fraction form
    131.22/197.91 = 113.40/x
  3. Step 3: Cross multiply
    131.22x = 197.91 × 113.40
  4. Step 4: Simplify right side
    131.22x = 22,442.99
  5. Step 5: Solve for x
    x = 22,442.99/131.22
  6. Step 6: Final answer
    x = 171.03

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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.