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Finding the Fourth Proportional to 258.26, 356.10 and 211.48

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Solution

The fourth proportional to 258.26, 356.10 and 211.48 is: 291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.26 : 356.10 = 211.48 : x
  2. Step 2: Convert to fraction form
    258.26/356.10 = 211.48/x
  3. Step 3: Cross multiply
    258.26x = 356.10 × 211.48
  4. Step 4: Simplify right side
    258.26x = 75,306.34
  5. Step 5: Solve for x
    x = 75,306.34/258.26
  6. Step 6: Final answer
    x = 291.60

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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.