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Finding the Fourth Proportional to 241.71, 360.92 and 212.21

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Solution

The fourth proportional to 241.71, 360.92 and 212.21 is: 316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.71 : 360.92 = 212.21 : x
  2. Step 2: Convert to fraction form
    241.71/360.92 = 212.21/x
  3. Step 3: Cross multiply
    241.71x = 360.92 × 212.21
  4. Step 4: Simplify right side
    241.71x = 76,590.83
  5. Step 5: Solve for x
    x = 76,590.83/241.71
  6. Step 6: Final answer
    x = 316.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.