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Finding the Fourth Proportional to 196.02, 293.68 and 109.12

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Solution

The fourth proportional to 196.02, 293.68 and 109.12 is: 163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 293.68 = 109.12 : x
  2. Step 2: Convert to fraction form
    196.02/293.68 = 109.12/x
  3. Step 3: Cross multiply
    196.02x = 293.68 × 109.12
  4. Step 4: Simplify right side
    196.02x = 32,046.53
  5. Step 5: Solve for x
    x = 32,046.53/196.02
  6. Step 6: Final answer
    x = 163.49

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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.