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Finding the Fourth Proportional to 283.25, 421.63 and 269.98

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Solution

The fourth proportional to 283.25, 421.63 and 269.98 is: 401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.25 : 421.63 = 269.98 : x
  2. Step 2: Convert to fraction form
    283.25/421.63 = 269.98/x
  3. Step 3: Cross multiply
    283.25x = 421.63 × 269.98
  4. Step 4: Simplify right side
    283.25x = 113,829.56
  5. Step 5: Solve for x
    x = 113,829.56/283.25
  6. Step 6: Final answer
    x = 401.87

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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.