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Finding the Fourth Proportional to 191.46, 286.80 and 105.78

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Solution

The fourth proportional to 191.46, 286.80 and 105.78 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.46 : 286.80 = 105.78 : x
  2. Step 2: Convert to fraction form
    191.46/286.80 = 105.78/x
  3. Step 3: Cross multiply
    191.46x = 286.80 × 105.78
  4. Step 4: Simplify right side
    191.46x = 30,337.70
  5. Step 5: Solve for x
    x = 30,337.70/191.46
  6. Step 6: Final answer
    x = 158.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.