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Finding the Fourth Proportional to 561.61, 842.17 and 196.21

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Solution

The fourth proportional to 561.61, 842.17 and 196.21 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.61 : 842.17 = 196.21 : x
  2. Step 2: Convert to fraction form
    561.61/842.17 = 196.21/x
  3. Step 3: Cross multiply
    561.61x = 842.17 × 196.21
  4. Step 4: Simplify right side
    561.61x = 165,242.18
  5. Step 5: Solve for x
    x = 165,242.18/561.61
  6. Step 6: Final answer
    x = 294.23

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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.