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Finding the Fourth Proportional to 427.06, 640.79 and 254.07

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Solution

The fourth proportional to 427.06, 640.79 and 254.07 is: 381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.06 : 640.79 = 254.07 : x
  2. Step 2: Convert to fraction form
    427.06/640.79 = 254.07/x
  3. Step 3: Cross multiply
    427.06x = 640.79 × 254.07
  4. Step 4: Simplify right side
    427.06x = 162,805.52
  5. Step 5: Solve for x
    x = 162,805.52/427.06
  6. Step 6: Final answer
    x = 381.22

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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.