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Finding the Fourth Proportional to 400.85, 600.46 and 208.07

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Solution

The fourth proportional to 400.85, 600.46 and 208.07 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.85 : 600.46 = 208.07 : x
  2. Step 2: Convert to fraction form
    400.85/600.46 = 208.07/x
  3. Step 3: Cross multiply
    400.85x = 600.46 × 208.07
  4. Step 4: Simplify right side
    400.85x = 124,933.67
  5. Step 5: Solve for x
    x = 124,933.67/400.85
  6. Step 6: Final answer
    x = 311.68

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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.