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Finding the Fourth Proportional to 191.19, 263.78 and 112.46

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Solution

The fourth proportional to 191.19, 263.78 and 112.46 is: 155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.19 : 263.78 = 112.46 : x
  2. Step 2: Convert to fraction form
    191.19/263.78 = 112.46/x
  3. Step 3: Cross multiply
    191.19x = 263.78 × 112.46
  4. Step 4: Simplify right side
    191.19x = 29,664.70
  5. Step 5: Solve for x
    x = 29,664.70/191.19
  6. Step 6: Final answer
    x = 155.16

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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.