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Finding the Fourth Proportional to 191.96, 265.07 and 122.15

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Solution

The fourth proportional to 191.96, 265.07 and 122.15 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.96 : 265.07 = 122.15 : x
  2. Step 2: Convert to fraction form
    191.96/265.07 = 122.15/x
  3. Step 3: Cross multiply
    191.96x = 265.07 × 122.15
  4. Step 4: Simplify right side
    191.96x = 32,376.98
  5. Step 5: Solve for x
    x = 32,376.98/191.96
  6. Step 6: Final answer
    x = 168.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.