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Finding the Fourth Proportional to 286.26, 427.44 and 237.66

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Solution

The fourth proportional to 286.26, 427.44 and 237.66 is: 354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 427.44 = 237.66 : x
  2. Step 2: Convert to fraction form
    286.26/427.44 = 237.66/x
  3. Step 3: Cross multiply
    286.26x = 427.44 × 237.66
  4. Step 4: Simplify right side
    286.26x = 101,585.39
  5. Step 5: Solve for x
    x = 101,585.39/286.26
  6. Step 6: Final answer
    x = 354.87

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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.