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Finding the Fourth Proportional to 553.38, 829.60 and 206.65

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Solution

The fourth proportional to 553.38, 829.60 and 206.65 is: 309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.38 : 829.60 = 206.65 : x
  2. Step 2: Convert to fraction form
    553.38/829.60 = 206.65/x
  3. Step 3: Cross multiply
    553.38x = 829.60 × 206.65
  4. Step 4: Simplify right side
    553.38x = 171,436.84
  5. Step 5: Solve for x
    x = 171,436.84/553.38
  6. Step 6: Final answer
    x = 309.80

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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.