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Finding the Fourth Proportional to 282.92, 426.54 and 279.27

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Solution

The fourth proportional to 282.92, 426.54 and 279.27 is: 421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.92 : 426.54 = 279.27 : x
  2. Step 2: Convert to fraction form
    282.92/426.54 = 279.27/x
  3. Step 3: Cross multiply
    282.92x = 426.54 × 279.27
  4. Step 4: Simplify right side
    282.92x = 119,119.83
  5. Step 5: Solve for x
    x = 119,119.83/282.92
  6. Step 6: Final answer
    x = 421.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.