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Finding the Fourth Proportional to 402.78, 603.71 and 220.33

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Solution

The fourth proportional to 402.78, 603.71 and 220.33 is: 330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.78 : 603.71 = 220.33 : x
  2. Step 2: Convert to fraction form
    402.78/603.71 = 220.33/x
  3. Step 3: Cross multiply
    402.78x = 603.71 × 220.33
  4. Step 4: Simplify right side
    402.78x = 133,015.42
  5. Step 5: Solve for x
    x = 133,015.42/402.78
  6. Step 6: Final answer
    x = 330.24

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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.