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Finding the Fourth Proportional to 258.74, 356.73 and 211.94

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Solution

The fourth proportional to 258.74, 356.73 and 211.94 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 356.73 = 211.94 : x
  2. Step 2: Convert to fraction form
    258.74/356.73 = 211.94/x
  3. Step 3: Cross multiply
    258.74x = 356.73 × 211.94
  4. Step 4: Simplify right side
    258.74x = 75,605.36
  5. Step 5: Solve for x
    x = 75,605.36/258.74
  6. Step 6: Final answer
    x = 292.21

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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.