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Finding the Fourth Proportional to 294.64, 405.96 and 196.22

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Solution

The fourth proportional to 294.64, 405.96 and 196.22 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 405.96 = 196.22 : x
  2. Step 2: Convert to fraction form
    294.64/405.96 = 196.22/x
  3. Step 3: Cross multiply
    294.64x = 405.96 × 196.22
  4. Step 4: Simplify right side
    294.64x = 79,657.75
  5. Step 5: Solve for x
    x = 79,657.75/294.64
  6. Step 6: Final answer
    x = 270.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.