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Finding the Fourth Proportional to 553.10, 829.56 and 206.60

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Solution

The fourth proportional to 553.10, 829.56 and 206.60 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.10 : 829.56 = 206.60 : x
  2. Step 2: Convert to fraction form
    553.10/829.56 = 206.60/x
  3. Step 3: Cross multiply
    553.10x = 829.56 × 206.60
  4. Step 4: Simplify right side
    553.10x = 171,382.95
  5. Step 5: Solve for x
    x = 171,382.95/553.10
  6. Step 6: Final answer
    x = 309.86

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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.