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Finding the Fourth Proportional to 638.83, 958.25 and 254.17

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Solution

The fourth proportional to 638.83, 958.25 and 254.17 is: 381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.83 : 958.25 = 254.17 : x
  2. Step 2: Convert to fraction form
    638.83/958.25 = 254.17/x
  3. Step 3: Cross multiply
    638.83x = 958.25 × 254.17
  4. Step 4: Simplify right side
    638.83x = 243,558.40
  5. Step 5: Solve for x
    x = 243,558.40/638.83
  6. Step 6: Final answer
    x = 381.26

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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.