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Finding the Fourth Proportional to 282.11, 420.87 and 251.33

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Solution

The fourth proportional to 282.11, 420.87 and 251.33 is: 374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.11 : 420.87 = 251.33 : x
  2. Step 2: Convert to fraction form
    282.11/420.87 = 251.33/x
  3. Step 3: Cross multiply
    282.11x = 420.87 × 251.33
  4. Step 4: Simplify right side
    282.11x = 105,775.15
  5. Step 5: Solve for x
    x = 105,775.15/282.11
  6. Step 6: Final answer
    x = 374.95

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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.