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Finding the Fourth Proportional to 553.21, 829.40 and 279.22

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Solution

The fourth proportional to 553.21, 829.40 and 279.22 is: 418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.21 : 829.40 = 279.22 : x
  2. Step 2: Convert to fraction form
    553.21/829.40 = 279.22/x
  3. Step 3: Cross multiply
    553.21x = 829.40 × 279.22
  4. Step 4: Simplify right side
    553.21x = 231,585.07
  5. Step 5: Solve for x
    x = 231,585.07/553.21
  6. Step 6: Final answer
    x = 418.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.