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Finding the Fourth Proportional to 285.94, 394.60 and 167.89

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Solution

The fourth proportional to 285.94, 394.60 and 167.89 is: 231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.94 : 394.60 = 167.89 : x
  2. Step 2: Convert to fraction form
    285.94/394.60 = 167.89/x
  3. Step 3: Cross multiply
    285.94x = 394.60 × 167.89
  4. Step 4: Simplify right side
    285.94x = 66,249.39
  5. Step 5: Solve for x
    x = 66,249.39/285.94
  6. Step 6: Final answer
    x = 231.69

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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.