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Finding the Fourth Proportional to 258.29, 355.95 and 211.52

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Solution

The fourth proportional to 258.29, 355.95 and 211.52 is: 291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 355.95 = 211.52 : x
  2. Step 2: Convert to fraction form
    258.29/355.95 = 211.52/x
  3. Step 3: Cross multiply
    258.29x = 355.95 × 211.52
  4. Step 4: Simplify right side
    258.29x = 75,288.76
  5. Step 5: Solve for x
    x = 75,288.76/258.29
  6. Step 6: Final answer
    x = 291.49

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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.