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Finding the Fourth Proportional to 426.68, 638.74 and 255.16

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Solution

The fourth proportional to 426.68, 638.74 and 255.16 is: 381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.68 : 638.74 = 255.16 : x
  2. Step 2: Convert to fraction form
    426.68/638.74 = 255.16/x
  3. Step 3: Cross multiply
    426.68x = 638.74 × 255.16
  4. Step 4: Simplify right side
    426.68x = 162,980.90
  5. Step 5: Solve for x
    x = 162,980.90/426.68
  6. Step 6: Final answer
    x = 381.97

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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.