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Finding the Fourth Proportional to 402.04, 603.20 and 209.80

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Solution

The fourth proportional to 402.04, 603.20 and 209.80 is: 314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.04 : 603.20 = 209.80 : x
  2. Step 2: Convert to fraction form
    402.04/603.20 = 209.80/x
  3. Step 3: Cross multiply
    402.04x = 603.20 × 209.80
  4. Step 4: Simplify right side
    402.04x = 126,551.36
  5. Step 5: Solve for x
    x = 126,551.36/402.04
  6. Step 6: Final answer
    x = 314.77

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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.