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Finding the Fourth Proportional to 205.20, 305.99 and 203.35

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Solution

The fourth proportional to 205.20, 305.99 and 203.35 is: 303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 305.99 = 203.35 : x
  2. Step 2: Convert to fraction form
    205.20/305.99 = 203.35/x
  3. Step 3: Cross multiply
    205.20x = 305.99 × 203.35
  4. Step 4: Simplify right side
    205.20x = 62,221.08
  5. Step 5: Solve for x
    x = 62,221.08/205.20
  6. Step 6: Final answer
    x = 303.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.