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Finding the Fourth Proportional to 553.27, 829.91 and 206.59

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Solution

The fourth proportional to 553.27, 829.91 and 206.59 is: 309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.27 : 829.91 = 206.59 : x
  2. Step 2: Convert to fraction form
    553.27/829.91 = 206.59/x
  3. Step 3: Cross multiply
    553.27x = 829.91 × 206.59
  4. Step 4: Simplify right side
    553.27x = 171,450.07
  5. Step 5: Solve for x
    x = 171,450.07/553.27
  6. Step 6: Final answer
    x = 309.89

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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.