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Finding the Fourth Proportional to 205.70, 310.78 and 203.88

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Solution

The fourth proportional to 205.70, 310.78 and 203.88 is: 308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 310.78 = 203.88 : x
  2. Step 2: Convert to fraction form
    205.70/310.78 = 203.88/x
  3. Step 3: Cross multiply
    205.70x = 310.78 × 203.88
  4. Step 4: Simplify right side
    205.70x = 63,360.05
  5. Step 5: Solve for x
    x = 63,360.05/205.70
  6. Step 6: Final answer
    x = 308.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.