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Finding the Fourth Proportional to 294.39, 405.96 and 196.17

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Solution

The fourth proportional to 294.39, 405.96 and 196.17 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.39 : 405.96 = 196.17 : x
  2. Step 2: Convert to fraction form
    294.39/405.96 = 196.17/x
  3. Step 3: Cross multiply
    294.39x = 405.96 × 196.17
  4. Step 4: Simplify right side
    294.39x = 79,637.17
  5. Step 5: Solve for x
    x = 79,637.17/294.39
  6. Step 6: Final answer
    x = 270.52

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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.