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Finding the Fourth Proportional to 191.96, 286.96 and 143.18

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Solution

The fourth proportional to 191.96, 286.96 and 143.18 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.96 : 286.96 = 143.18 : x
  2. Step 2: Convert to fraction form
    191.96/286.96 = 143.18/x
  3. Step 3: Cross multiply
    191.96x = 286.96 × 143.18
  4. Step 4: Simplify right side
    191.96x = 41,086.74
  5. Step 5: Solve for x
    x = 41,086.74/191.96
  6. Step 6: Final answer
    x = 214.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.