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Finding the Fourth Proportional to 215.18, 295.22 and 204.86

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Solution

The fourth proportional to 215.18, 295.22 and 204.86 is: 281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.18 : 295.22 = 204.86 : x
  2. Step 2: Convert to fraction form
    215.18/295.22 = 204.86/x
  3. Step 3: Cross multiply
    215.18x = 295.22 × 204.86
  4. Step 4: Simplify right side
    215.18x = 60,478.77
  5. Step 5: Solve for x
    x = 60,478.77/215.18
  6. Step 6: Final answer
    x = 281.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.