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Finding the Fourth Proportional to 194.10, 289.49 and 188.32

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Solution

The fourth proportional to 194.10, 289.49 and 188.32 is: 280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.10 : 289.49 = 188.32 : x
  2. Step 2: Convert to fraction form
    194.10/289.49 = 188.32/x
  3. Step 3: Cross multiply
    194.10x = 289.49 × 188.32
  4. Step 4: Simplify right side
    194.10x = 54,516.76
  5. Step 5: Solve for x
    x = 54,516.76/194.10
  6. Step 6: Final answer
    x = 280.87

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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.