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Finding the Fourth Proportional to 189.13, 282.12 and 167.26

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Solution

The fourth proportional to 189.13, 282.12 and 167.26 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.13 : 282.12 = 167.26 : x
  2. Step 2: Convert to fraction form
    189.13/282.12 = 167.26/x
  3. Step 3: Cross multiply
    189.13x = 282.12 × 167.26
  4. Step 4: Simplify right side
    189.13x = 47,187.39
  5. Step 5: Solve for x
    x = 47,187.39/189.13
  6. Step 6: Final answer
    x = 249.50

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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.