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Finding the Fourth Proportional to 215.39, 298.60 and 204.27

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Solution

The fourth proportional to 215.39, 298.60 and 204.27 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.39 : 298.60 = 204.27 : x
  2. Step 2: Convert to fraction form
    215.39/298.60 = 204.27/x
  3. Step 3: Cross multiply
    215.39x = 298.60 × 204.27
  4. Step 4: Simplify right side
    215.39x = 60,995.02
  5. Step 5: Solve for x
    x = 60,995.02/215.39
  6. Step 6: Final answer
    x = 283.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.