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Finding the Fourth Proportional to 131.65, 196.67 and 116.16

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Solution

The fourth proportional to 131.65, 196.67 and 116.16 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.65 : 196.67 = 116.16 : x
  2. Step 2: Convert to fraction form
    131.65/196.67 = 116.16/x
  3. Step 3: Cross multiply
    131.65x = 196.67 × 116.16
  4. Step 4: Simplify right side
    131.65x = 22,845.19
  5. Step 5: Solve for x
    x = 22,845.19/131.65
  6. Step 6: Final answer
    x = 173.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.