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Finding the Fourth Proportional to 196.11, 292.37 and 191.30

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Solution

The fourth proportional to 196.11, 292.37 and 191.30 is: 285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.11 : 292.37 = 191.30 : x
  2. Step 2: Convert to fraction form
    196.11/292.37 = 191.30/x
  3. Step 3: Cross multiply
    196.11x = 292.37 × 191.30
  4. Step 4: Simplify right side
    196.11x = 55,927.96
  5. Step 5: Solve for x
    x = 55,927.96/196.11
  6. Step 6: Final answer
    x = 285.19

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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.