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Finding the Fourth Proportional to 401.68, 550.64 and 394.32

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Solution

The fourth proportional to 401.68, 550.64 and 394.32 is: 540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.68 : 550.64 = 394.32 : x
  2. Step 2: Convert to fraction form
    401.68/550.64 = 394.32/x
  3. Step 3: Cross multiply
    401.68x = 550.64 × 394.32
  4. Step 4: Simplify right side
    401.68x = 217,128.36
  5. Step 5: Solve for x
    x = 217,128.36/401.68
  6. Step 6: Final answer
    x = 540.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.