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Finding the Fourth Proportional to 220.32, 305.28 and 205.92

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Solution

The fourth proportional to 220.32, 305.28 and 205.92 is: 285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 305.28 = 205.92 : x
  2. Step 2: Convert to fraction form
    220.32/305.28 = 205.92/x
  3. Step 3: Cross multiply
    220.32x = 305.28 × 205.92
  4. Step 4: Simplify right side
    220.32x = 62,863.26
  5. Step 5: Solve for x
    x = 62,863.26/220.32
  6. Step 6: Final answer
    x = 285.33

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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.