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Finding the Fourth Proportional to 189.14, 260.62 and 181.95

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Solution

The fourth proportional to 189.14, 260.62 and 181.95 is: 250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 260.62 = 181.95 : x
  2. Step 2: Convert to fraction form
    189.14/260.62 = 181.95/x
  3. Step 3: Cross multiply
    189.14x = 260.62 × 181.95
  4. Step 4: Simplify right side
    189.14x = 47,418.38
  5. Step 5: Solve for x
    x = 47,418.38/189.14
  6. Step 6: Final answer
    x = 250.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.