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Finding the Fourth Proportional to 403.32, 553.56 and 360.96

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Solution

The fourth proportional to 403.32, 553.56 and 360.96 is: 495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.32 : 553.56 = 360.96 : x
  2. Step 2: Convert to fraction form
    403.32/553.56 = 360.96/x
  3. Step 3: Cross multiply
    403.32x = 553.56 × 360.96
  4. Step 4: Simplify right side
    403.32x = 199,813.02
  5. Step 5: Solve for x
    x = 199,813.02/403.32
  6. Step 6: Final answer
    x = 495.42

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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.