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Finding the Fourth Proportional to 191.08, 263.78 and 142.12

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Solution

The fourth proportional to 191.08, 263.78 and 142.12 is: 196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.08 : 263.78 = 142.12 : x
  2. Step 2: Convert to fraction form
    191.08/263.78 = 142.12/x
  3. Step 3: Cross multiply
    191.08x = 263.78 × 142.12
  4. Step 4: Simplify right side
    191.08x = 37,488.41
  5. Step 5: Solve for x
    x = 37,488.41/191.08
  6. Step 6: Final answer
    x = 196.19

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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.