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Finding the Fourth Proportional to 294.16, 405.90 and 169.78

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Solution

The fourth proportional to 294.16, 405.90 and 169.78 is: 234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 405.90 = 169.78 : x
  2. Step 2: Convert to fraction form
    294.16/405.90 = 169.78/x
  3. Step 3: Cross multiply
    294.16x = 405.90 × 169.78
  4. Step 4: Simplify right side
    294.16x = 68,913.70
  5. Step 5: Solve for x
    x = 68,913.70/294.16
  6. Step 6: Final answer
    x = 234.27

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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.