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Finding the Fourth Proportional to 189.98, 286.04 and 167.30

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Solution

The fourth proportional to 189.98, 286.04 and 167.30 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.98 : 286.04 = 167.30 : x
  2. Step 2: Convert to fraction form
    189.98/286.04 = 167.30/x
  3. Step 3: Cross multiply
    189.98x = 286.04 × 167.30
  4. Step 4: Simplify right side
    189.98x = 47,854.49
  5. Step 5: Solve for x
    x = 47,854.49/189.98
  6. Step 6: Final answer
    x = 251.89

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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.