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Finding the Fourth Proportional to 352.62, 486.64 and 205.30

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Solution

The fourth proportional to 352.62, 486.64 and 205.30 is: 283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.62 : 486.64 = 205.30 : x
  2. Step 2: Convert to fraction form
    352.62/486.64 = 205.30/x
  3. Step 3: Cross multiply
    352.62x = 486.64 × 205.30
  4. Step 4: Simplify right side
    352.62x = 99,907.19
  5. Step 5: Solve for x
    x = 99,907.19/352.62
  6. Step 6: Final answer
    x = 283.33

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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.