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Finding the Fourth Proportional to 552.55, 829.15 and 206.13

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Solution

The fourth proportional to 552.55, 829.15 and 206.13 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.55 : 829.15 = 206.13 : x
  2. Step 2: Convert to fraction form
    552.55/829.15 = 206.13/x
  3. Step 3: Cross multiply
    552.55x = 829.15 × 206.13
  4. Step 4: Simplify right side
    552.55x = 170,912.69
  5. Step 5: Solve for x
    x = 170,912.69/552.55
  6. Step 6: Final answer
    x = 309.32

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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.