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Finding the Fourth Proportional to 194.27, 289.26 and 191.35

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Solution

The fourth proportional to 194.27, 289.26 and 191.35 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.27 : 289.26 = 191.35 : x
  2. Step 2: Convert to fraction form
    194.27/289.26 = 191.35/x
  3. Step 3: Cross multiply
    194.27x = 289.26 × 191.35
  4. Step 4: Simplify right side
    194.27x = 55,349.90
  5. Step 5: Solve for x
    x = 55,349.90/194.27
  6. Step 6: Final answer
    x = 284.91

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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.