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Finding the Fourth Proportional to 215.06, 295.04 and 204.74

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Solution

The fourth proportional to 215.06, 295.04 and 204.74 is: 280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.06 : 295.04 = 204.74 : x
  2. Step 2: Convert to fraction form
    215.06/295.04 = 204.74/x
  3. Step 3: Cross multiply
    215.06x = 295.04 × 204.74
  4. Step 4: Simplify right side
    215.06x = 60,406.49
  5. Step 5: Solve for x
    x = 60,406.49/215.06
  6. Step 6: Final answer
    x = 280.88

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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.