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Finding the Fourth Proportional to 408.42, 609.58 and 395.66

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Solution

The fourth proportional to 408.42, 609.58 and 395.66 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 609.58 = 395.66 : x
  2. Step 2: Convert to fraction form
    408.42/609.58 = 395.66/x
  3. Step 3: Cross multiply
    408.42x = 609.58 × 395.66
  4. Step 4: Simplify right side
    408.42x = 241,186.42
  5. Step 5: Solve for x
    x = 241,186.42/408.42
  6. Step 6: Final answer
    x = 590.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.