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Finding the Fourth Proportional to 283.85, 426.63 and 235.42

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Solution

The fourth proportional to 283.85, 426.63 and 235.42 is: 353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.85 : 426.63 = 235.42 : x
  2. Step 2: Convert to fraction form
    283.85/426.63 = 235.42/x
  3. Step 3: Cross multiply
    283.85x = 426.63 × 235.42
  4. Step 4: Simplify right side
    283.85x = 100,437.33
  5. Step 5: Solve for x
    x = 100,437.33/283.85
  6. Step 6: Final answer
    x = 353.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.