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Finding the Fourth Proportional to 553.30, 829.14 and 279.01

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Solution

The fourth proportional to 553.30, 829.14 and 279.01 is: 418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.30 : 829.14 = 279.01 : x
  2. Step 2: Convert to fraction form
    553.30/829.14 = 279.01/x
  3. Step 3: Cross multiply
    553.30x = 829.14 × 279.01
  4. Step 4: Simplify right side
    553.30x = 231,338.35
  5. Step 5: Solve for x
    x = 231,338.35/553.30
  6. Step 6: Final answer
    x = 418.11

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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.