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Finding the Fourth Proportional to 258.52, 355.85 and 216.61

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Solution

The fourth proportional to 258.52, 355.85 and 216.61 is: 298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 355.85 = 216.61 : x
  2. Step 2: Convert to fraction form
    258.52/355.85 = 216.61/x
  3. Step 3: Cross multiply
    258.52x = 355.85 × 216.61
  4. Step 4: Simplify right side
    258.52x = 77,080.67
  5. Step 5: Solve for x
    x = 77,080.67/258.52
  6. Step 6: Final answer
    x = 298.16

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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.