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Finding the Fourth Proportional to 285.74, 394.14 and 169.22

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Solution

The fourth proportional to 285.74, 394.14 and 169.22 is: 233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 394.14 = 169.22 : x
  2. Step 2: Convert to fraction form
    285.74/394.14 = 169.22/x
  3. Step 3: Cross multiply
    285.74x = 394.14 × 169.22
  4. Step 4: Simplify right side
    285.74x = 66,696.37
  5. Step 5: Solve for x
    x = 66,696.37/285.74
  6. Step 6: Final answer
    x = 233.42

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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.