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Finding the Fourth Proportional to 258.20, 356.19 and 159.92

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Solution

The fourth proportional to 258.20, 356.19 and 159.92 is: 220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.20 : 356.19 = 159.92 : x
  2. Step 2: Convert to fraction form
    258.20/356.19 = 159.92/x
  3. Step 3: Cross multiply
    258.20x = 356.19 × 159.92
  4. Step 4: Simplify right side
    258.20x = 56,960.12
  5. Step 5: Solve for x
    x = 56,960.12/258.20
  6. Step 6: Final answer
    x = 220.61

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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.