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Finding the Fourth Proportional to 205.36, 306.32 and 203.44

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Solution

The fourth proportional to 205.36, 306.32 and 203.44 is: 303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.36 : 306.32 = 203.44 : x
  2. Step 2: Convert to fraction form
    205.36/306.32 = 203.44/x
  3. Step 3: Cross multiply
    205.36x = 306.32 × 203.44
  4. Step 4: Simplify right side
    205.36x = 62,317.74
  5. Step 5: Solve for x
    x = 62,317.74/205.36
  6. Step 6: Final answer
    x = 303.46

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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.