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Finding the Fourth Proportional to 131.62, 196.85 and 117.26

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Solution

The fourth proportional to 131.62, 196.85 and 117.26 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.62 : 196.85 = 117.26 : x
  2. Step 2: Convert to fraction form
    131.62/196.85 = 117.26/x
  3. Step 3: Cross multiply
    131.62x = 196.85 × 117.26
  4. Step 4: Simplify right side
    131.62x = 23,082.63
  5. Step 5: Solve for x
    x = 23,082.63/131.62
  6. Step 6: Final answer
    x = 175.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.