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Finding the Fourth Proportional to 403.68, 553.38 and 396.32

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Solution

The fourth proportional to 403.68, 553.38 and 396.32 is: 543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 553.38 = 396.32 : x
  2. Step 2: Convert to fraction form
    403.68/553.38 = 396.32/x
  3. Step 3: Cross multiply
    403.68x = 553.38 × 396.32
  4. Step 4: Simplify right side
    403.68x = 219,315.56
  5. Step 5: Solve for x
    x = 219,315.56/403.68
  6. Step 6: Final answer
    x = 543.29

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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.