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Finding the Fourth Proportional to 426.27, 638.19 and 279.86

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Solution

The fourth proportional to 426.27, 638.19 and 279.86 is: 419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.27 : 638.19 = 279.86 : x
  2. Step 2: Convert to fraction form
    426.27/638.19 = 279.86/x
  3. Step 3: Cross multiply
    426.27x = 638.19 × 279.86
  4. Step 4: Simplify right side
    426.27x = 178,605.45
  5. Step 5: Solve for x
    x = 178,605.45/426.27
  6. Step 6: Final answer
    x = 419.00

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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.