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Finding the Fourth Proportional to 294.14, 405.90 and 169.88

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Solution

The fourth proportional to 294.14, 405.90 and 169.88 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.14 : 405.90 = 169.88 : x
  2. Step 2: Convert to fraction form
    294.14/405.90 = 169.88/x
  3. Step 3: Cross multiply
    294.14x = 405.90 × 169.88
  4. Step 4: Simplify right side
    294.14x = 68,954.29
  5. Step 5: Solve for x
    x = 68,954.29/294.14
  6. Step 6: Final answer
    x = 234.43

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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.