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Finding the Fourth Proportional to 285.57, 394.02 and 169.11

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Solution

The fourth proportional to 285.57, 394.02 and 169.11 is: 233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.57 : 394.02 = 169.11 : x
  2. Step 2: Convert to fraction form
    285.57/394.02 = 169.11/x
  3. Step 3: Cross multiply
    285.57x = 394.02 × 169.11
  4. Step 4: Simplify right side
    285.57x = 66,632.72
  5. Step 5: Solve for x
    x = 66,632.72/285.57
  6. Step 6: Final answer
    x = 233.33

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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.