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Finding the Fourth Proportional to 131.16, 195.99 and 100.14

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Solution

The fourth proportional to 131.16, 195.99 and 100.14 is: 149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.16 : 195.99 = 100.14 : x
  2. Step 2: Convert to fraction form
    131.16/195.99 = 100.14/x
  3. Step 3: Cross multiply
    131.16x = 195.99 × 100.14
  4. Step 4: Simplify right side
    131.16x = 19,626.44
  5. Step 5: Solve for x
    x = 19,626.44/131.16
  6. Step 6: Final answer
    x = 149.64

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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.