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Finding the Fourth Proportional to 218.15, 300.85 and 159.27

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Solution

The fourth proportional to 218.15, 300.85 and 159.27 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.15 : 300.85 = 159.27 : x
  2. Step 2: Convert to fraction form
    218.15/300.85 = 159.27/x
  3. Step 3: Cross multiply
    218.15x = 300.85 × 159.27
  4. Step 4: Simplify right side
    218.15x = 47,915.98
  5. Step 5: Solve for x
    x = 47,915.98/218.15
  6. Step 6: Final answer
    x = 219.65

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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.