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Finding the Fourth Proportional to 282.83, 421.84 and 269.21

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Solution

The fourth proportional to 282.83, 421.84 and 269.21 is: 401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.83 : 421.84 = 269.21 : x
  2. Step 2: Convert to fraction form
    282.83/421.84 = 269.21/x
  3. Step 3: Cross multiply
    282.83x = 421.84 × 269.21
  4. Step 4: Simplify right side
    282.83x = 113,563.55
  5. Step 5: Solve for x
    x = 113,563.55/282.83
  6. Step 6: Final answer
    x = 401.53

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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.