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Finding the Fourth Proportional to 191.10, 263.41 and 135.75

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Solution

The fourth proportional to 191.10, 263.41 and 135.75 is: 187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.10 : 263.41 = 135.75 : x
  2. Step 2: Convert to fraction form
    191.10/263.41 = 135.75/x
  3. Step 3: Cross multiply
    191.10x = 263.41 × 135.75
  4. Step 4: Simplify right side
    191.10x = 35,757.91
  5. Step 5: Solve for x
    x = 35,757.91/191.10
  6. Step 6: Final answer
    x = 187.12

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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.