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Finding the Fourth Proportional to 552.42, 828.15 and 205.55

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Solution

The fourth proportional to 552.42, 828.15 and 205.55 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.42 : 828.15 = 205.55 : x
  2. Step 2: Convert to fraction form
    552.42/828.15 = 205.55/x
  3. Step 3: Cross multiply
    552.42x = 828.15 × 205.55
  4. Step 4: Simplify right side
    552.42x = 170,222.09
  5. Step 5: Solve for x
    x = 170,222.09/552.42
  6. Step 6: Final answer
    x = 308.14

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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.