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Finding the Fourth Proportional to 189.69, 259.87 and 182.40

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Solution

The fourth proportional to 189.69, 259.87 and 182.40 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.69 : 259.87 = 182.40 : x
  2. Step 2: Convert to fraction form
    189.69/259.87 = 182.40/x
  3. Step 3: Cross multiply
    189.69x = 259.87 × 182.40
  4. Step 4: Simplify right side
    189.69x = 47,400.29
  5. Step 5: Solve for x
    x = 47,400.29/189.69
  6. Step 6: Final answer
    x = 249.88

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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.