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Finding the Fourth Proportional to 258.92, 386.13 and 212.84

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Solution

The fourth proportional to 258.92, 386.13 and 212.84 is: 317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.92 : 386.13 = 212.84 : x
  2. Step 2: Convert to fraction form
    258.92/386.13 = 212.84/x
  3. Step 3: Cross multiply
    258.92x = 386.13 × 212.84
  4. Step 4: Simplify right side
    258.92x = 82,183.91
  5. Step 5: Solve for x
    x = 82,183.91/258.92
  6. Step 6: Final answer
    x = 317.41

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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.