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Finding the Fourth Proportional to 286.97, 427.70 and 231.89

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Solution

The fourth proportional to 286.97, 427.70 and 231.89 is: 345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.97 : 427.70 = 231.89 : x
  2. Step 2: Convert to fraction form
    286.97/427.70 = 231.89/x
  3. Step 3: Cross multiply
    286.97x = 427.70 × 231.89
  4. Step 4: Simplify right side
    286.97x = 99,177.79
  5. Step 5: Solve for x
    x = 99,177.79/286.97
  6. Step 6: Final answer
    x = 345.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.