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Finding the Fourth Proportional to 189.81, 286.29 and 167.27

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Solution

The fourth proportional to 189.81, 286.29 and 167.27 is: 252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.81 : 286.29 = 167.27 : x
  2. Step 2: Convert to fraction form
    189.81/286.29 = 167.27/x
  3. Step 3: Cross multiply
    189.81x = 286.29 × 167.27
  4. Step 4: Simplify right side
    189.81x = 47,887.73
  5. Step 5: Solve for x
    x = 47,887.73/189.81
  6. Step 6: Final answer
    x = 252.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.