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Finding the Fourth Proportional to 196.20, 294.22 and 66.18

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Solution

The fourth proportional to 196.20, 294.22 and 66.18 is: 99.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 294.22 = 66.18 : x
  2. Step 2: Convert to fraction form
    196.20/294.22 = 66.18/x
  3. Step 3: Cross multiply
    196.20x = 294.22 × 66.18
  4. Step 4: Simplify right side
    196.20x = 19,471.48
  5. Step 5: Solve for x
    x = 19,471.48/196.20
  6. Step 6: Final answer
    x = 99.24

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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.