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Finding the Fourth Proportional to 401.26, 553.04 and 356.02

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Solution

The fourth proportional to 401.26, 553.04 and 356.02 is: 490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.26 : 553.04 = 356.02 : x
  2. Step 2: Convert to fraction form
    401.26/553.04 = 356.02/x
  3. Step 3: Cross multiply
    401.26x = 553.04 × 356.02
  4. Step 4: Simplify right side
    401.26x = 196,893.30
  5. Step 5: Solve for x
    x = 196,893.30/401.26
  6. Step 6: Final answer
    x = 490.69

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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.