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Finding the Fourth Proportional to 286.85, 396.24 and 237.98

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Solution

The fourth proportional to 286.85, 396.24 and 237.98 is: 328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.85 : 396.24 = 237.98 : x
  2. Step 2: Convert to fraction form
    286.85/396.24 = 237.98/x
  3. Step 3: Cross multiply
    286.85x = 396.24 × 237.98
  4. Step 4: Simplify right side
    286.85x = 94,297.20
  5. Step 5: Solve for x
    x = 94,297.20/286.85
  6. Step 6: Final answer
    x = 328.73

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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.