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Finding the Fourth Proportional to 408.05, 562.90 and 258.42

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Solution

The fourth proportional to 408.05, 562.90 and 258.42 is: 356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.05 : 562.90 = 258.42 : x
  2. Step 2: Convert to fraction form
    408.05/562.90 = 258.42/x
  3. Step 3: Cross multiply
    408.05x = 562.90 × 258.42
  4. Step 4: Simplify right side
    408.05x = 145,464.62
  5. Step 5: Solve for x
    x = 145,464.62/408.05
  6. Step 6: Final answer
    x = 356.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.