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Finding the Fourth Proportional to 352.55, 486.56 and 205.15

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Solution

The fourth proportional to 352.55, 486.56 and 205.15 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.55 : 486.56 = 205.15 : x
  2. Step 2: Convert to fraction form
    352.55/486.56 = 205.15/x
  3. Step 3: Cross multiply
    352.55x = 486.56 × 205.15
  4. Step 4: Simplify right side
    352.55x = 99,815.54
  5. Step 5: Solve for x
    x = 99,815.54/352.55
  6. Step 6: Final answer
    x = 283.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.