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Finding the Fourth Proportional to 220.32, 302.36 and 201.96

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Solution

The fourth proportional to 220.32, 302.36 and 201.96 is: 277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 302.36 = 201.96 : x
  2. Step 2: Convert to fraction form
    220.32/302.36 = 201.96/x
  3. Step 3: Cross multiply
    220.32x = 302.36 × 201.96
  4. Step 4: Simplify right side
    220.32x = 61,063.62
  5. Step 5: Solve for x
    x = 61,063.62/220.32
  6. Step 6: Final answer
    x = 277.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.