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Finding the Fourth Proportional to 602.26, 902.71 and 255.38

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Solution

The fourth proportional to 602.26, 902.71 and 255.38 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.26 : 902.71 = 255.38 : x
  2. Step 2: Convert to fraction form
    602.26/902.71 = 255.38/x
  3. Step 3: Cross multiply
    602.26x = 902.71 × 255.38
  4. Step 4: Simplify right side
    602.26x = 230,531.35
  5. Step 5: Solve for x
    x = 230,531.35/602.26
  6. Step 6: Final answer
    x = 382.78

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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.