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Finding the Fourth Proportional to 196.09, 293.62 and 138.00

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Solution

The fourth proportional to 196.09, 293.62 and 138.00 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.09 : 293.62 = 138.00 : x
  2. Step 2: Convert to fraction form
    196.09/293.62 = 138.00/x
  3. Step 3: Cross multiply
    196.09x = 293.62 × 138.00
  4. Step 4: Simplify right side
    196.09x = 40,518.70
  5. Step 5: Solve for x
    x = 40,518.70/196.09
  6. Step 6: Final answer
    x = 206.63

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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.