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Finding the Fourth Proportional to 194.49, 289.96 and 182.87

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Solution

The fourth proportional to 194.49, 289.96 and 182.87 is: 272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.49 : 289.96 = 182.87 : x
  2. Step 2: Convert to fraction form
    194.49/289.96 = 182.87/x
  3. Step 3: Cross multiply
    194.49x = 289.96 × 182.87
  4. Step 4: Simplify right side
    194.49x = 53,024.17
  5. Step 5: Solve for x
    x = 53,024.17/194.49
  6. Step 6: Final answer
    x = 272.63

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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.