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Finding the Fourth Proportional to 189.86, 260.19 and 187.44

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Solution

The fourth proportional to 189.86, 260.19 and 187.44 is: 256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.86 : 260.19 = 187.44 : x
  2. Step 2: Convert to fraction form
    189.86/260.19 = 187.44/x
  3. Step 3: Cross multiply
    189.86x = 260.19 × 187.44
  4. Step 4: Simplify right side
    189.86x = 48,770.01
  5. Step 5: Solve for x
    x = 48,770.01/189.86
  6. Step 6: Final answer
    x = 256.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.