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Finding the Fourth Proportional to 605.54, 908.36 and 254.07

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Solution

The fourth proportional to 605.54, 908.36 and 254.07 is: 381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.54 : 908.36 = 254.07 : x
  2. Step 2: Convert to fraction form
    605.54/908.36 = 254.07/x
  3. Step 3: Cross multiply
    605.54x = 908.36 × 254.07
  4. Step 4: Simplify right side
    605.54x = 230,785.75
  5. Step 5: Solve for x
    x = 230,785.75/605.54
  6. Step 6: Final answer
    x = 381.13

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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.