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Finding the Fourth Proportional to 402.12, 602.64 and 209.34

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Solution

The fourth proportional to 402.12, 602.64 and 209.34 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 602.64 = 209.34 : x
  2. Step 2: Convert to fraction form
    402.12/602.64 = 209.34/x
  3. Step 3: Cross multiply
    402.12x = 602.64 × 209.34
  4. Step 4: Simplify right side
    402.12x = 126,156.66
  5. Step 5: Solve for x
    x = 126,156.66/402.12
  6. Step 6: Final answer
    x = 313.73

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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.