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Finding the Fourth Proportional to 189.19, 262.27 and 179.31

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Solution

The fourth proportional to 189.19, 262.27 and 179.31 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.19 : 262.27 = 179.31 : x
  2. Step 2: Convert to fraction form
    189.19/262.27 = 179.31/x
  3. Step 3: Cross multiply
    189.19x = 262.27 × 179.31
  4. Step 4: Simplify right side
    189.19x = 47,027.63
  5. Step 5: Solve for x
    x = 47,027.63/189.19
  6. Step 6: Final answer
    x = 248.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.