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Finding the Fourth Proportional to 285.69, 394.28 and 161.37

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Solution

The fourth proportional to 285.69, 394.28 and 161.37 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 394.28 = 161.37 : x
  2. Step 2: Convert to fraction form
    285.69/394.28 = 161.37/x
  3. Step 3: Cross multiply
    285.69x = 394.28 × 161.37
  4. Step 4: Simplify right side
    285.69x = 63,624.16
  5. Step 5: Solve for x
    x = 63,624.16/285.69
  6. Step 6: Final answer
    x = 222.70

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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.