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Finding the Fourth Proportional to 293.80, 405.42 and 169.45

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Solution

The fourth proportional to 293.80, 405.42 and 169.45 is: 233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.80 : 405.42 = 169.45 : x
  2. Step 2: Convert to fraction form
    293.80/405.42 = 169.45/x
  3. Step 3: Cross multiply
    293.80x = 405.42 × 169.45
  4. Step 4: Simplify right side
    293.80x = 68,698.42
  5. Step 5: Solve for x
    x = 68,698.42/293.80
  6. Step 6: Final answer
    x = 233.83

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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.