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Finding the Fourth Proportional to 400.22, 553.07 and 326.51

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Solution

The fourth proportional to 400.22, 553.07 and 326.51 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.22 : 553.07 = 326.51 : x
  2. Step 2: Convert to fraction form
    400.22/553.07 = 326.51/x
  3. Step 3: Cross multiply
    400.22x = 553.07 × 326.51
  4. Step 4: Simplify right side
    400.22x = 180,585.08
  5. Step 5: Solve for x
    x = 180,585.08/400.22
  6. Step 6: Final answer
    x = 451.21

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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.