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Finding the Fourth Proportional to 561.27, 841.91 and 196.09

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Solution

The fourth proportional to 561.27, 841.91 and 196.09 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.27 : 841.91 = 196.09 : x
  2. Step 2: Convert to fraction form
    561.27/841.91 = 196.09/x
  3. Step 3: Cross multiply
    561.27x = 841.91 × 196.09
  4. Step 4: Simplify right side
    561.27x = 165,087.05
  5. Step 5: Solve for x
    x = 165,087.05/561.27
  6. Step 6: Final answer
    x = 294.13

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.