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Finding the Fourth Proportional to 352.62, 486.71 and 212.75

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Solution

The fourth proportional to 352.62, 486.71 and 212.75 is: 293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.62 : 486.71 = 212.75 : x
  2. Step 2: Convert to fraction form
    352.62/486.71 = 212.75/x
  3. Step 3: Cross multiply
    352.62x = 486.71 × 212.75
  4. Step 4: Simplify right side
    352.62x = 103,544.06
  5. Step 5: Solve for x
    x = 103,544.06/352.62
  6. Step 6: Final answer
    x = 293.64

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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.