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Finding the Fourth Proportional to 400.16, 550.72 and 337.26

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Solution

The fourth proportional to 400.16, 550.72 and 337.26 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 550.72 = 337.26 : x
  2. Step 2: Convert to fraction form
    400.16/550.72 = 337.26/x
  3. Step 3: Cross multiply
    400.16x = 550.72 × 337.26
  4. Step 4: Simplify right side
    400.16x = 185,735.83
  5. Step 5: Solve for x
    x = 185,735.83/400.16
  6. Step 6: Final answer
    x = 464.15

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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.