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Finding the Fourth Proportional to 196.13, 293.99 and 131.13

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Solution

The fourth proportional to 196.13, 293.99 and 131.13 is: 196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 293.99 = 131.13 : x
  2. Step 2: Convert to fraction form
    196.13/293.99 = 131.13/x
  3. Step 3: Cross multiply
    196.13x = 293.99 × 131.13
  4. Step 4: Simplify right side
    196.13x = 38,550.25
  5. Step 5: Solve for x
    x = 38,550.25/196.13
  6. Step 6: Final answer
    x = 196.55

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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.