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Finding the Fourth Proportional to 189.63, 282.87 and 167.76

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Solution

The fourth proportional to 189.63, 282.87 and 167.76 is: 250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.63 : 282.87 = 167.76 : x
  2. Step 2: Convert to fraction form
    189.63/282.87 = 167.76/x
  3. Step 3: Cross multiply
    189.63x = 282.87 × 167.76
  4. Step 4: Simplify right side
    189.63x = 47,453.43
  5. Step 5: Solve for x
    x = 47,453.43/189.63
  6. Step 6: Final answer
    x = 250.24

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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.