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Finding the Fourth Proportional to 352.51, 486.52 and 212.65

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Solution

The fourth proportional to 352.51, 486.52 and 212.65 is: 293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.51 : 486.52 = 212.65 : x
  2. Step 2: Convert to fraction form
    352.51/486.52 = 212.65/x
  3. Step 3: Cross multiply
    352.51x = 486.52 × 212.65
  4. Step 4: Simplify right side
    352.51x = 103,456.73
  5. Step 5: Solve for x
    x = 103,456.73/352.51
  6. Step 6: Final answer
    x = 293.49

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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.