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Finding the Fourth Proportional to 258.29, 385.66 and 212.73

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Solution

The fourth proportional to 258.29, 385.66 and 212.73 is: 317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 385.66 = 212.73 : x
  2. Step 2: Convert to fraction form
    258.29/385.66 = 212.73/x
  3. Step 3: Cross multiply
    258.29x = 385.66 × 212.73
  4. Step 4: Simplify right side
    258.29x = 82,040.27
  5. Step 5: Solve for x
    x = 82,040.27/258.29
  6. Step 6: Final answer
    x = 317.63

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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.