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Finding the Fourth Proportional to 402.33, 603.04 and 280.22

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Solution

The fourth proportional to 402.33, 603.04 and 280.22 is: 420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.33 : 603.04 = 280.22 : x
  2. Step 2: Convert to fraction form
    402.33/603.04 = 280.22/x
  3. Step 3: Cross multiply
    402.33x = 603.04 × 280.22
  4. Step 4: Simplify right side
    402.33x = 168,982.47
  5. Step 5: Solve for x
    x = 168,982.47/402.33
  6. Step 6: Final answer
    x = 420.01

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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.