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Finding the Fourth Proportional to 602.18, 902.67 and 255.75

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Solution

The fourth proportional to 602.18, 902.67 and 255.75 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.18 : 902.67 = 255.75 : x
  2. Step 2: Convert to fraction form
    602.18/902.67 = 255.75/x
  3. Step 3: Cross multiply
    602.18x = 902.67 × 255.75
  4. Step 4: Simplify right side
    602.18x = 230,857.85
  5. Step 5: Solve for x
    x = 230,857.85/602.18
  6. Step 6: Final answer
    x = 383.37

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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.