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Finding the Fourth Proportional to 398.92, 602.11 and 398.92

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Solution

The fourth proportional to 398.92, 602.11 and 398.92 is: 602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.92 : 602.11 = 398.92 : x
  2. Step 2: Convert to fraction form
    398.92/602.11 = 398.92/x
  3. Step 3: Cross multiply
    398.92x = 602.11 × 398.92
  4. Step 4: Simplify right side
    398.92x = 240,193.72
  5. Step 5: Solve for x
    x = 240,193.72/398.92
  6. Step 6: Final answer
    x = 602.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.