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Finding the Fourth Proportional to 220.32, 301.86 and 212.13

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Solution

The fourth proportional to 220.32, 301.86 and 212.13 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 301.86 = 212.13 : x
  2. Step 2: Convert to fraction form
    220.32/301.86 = 212.13/x
  3. Step 3: Cross multiply
    220.32x = 301.86 × 212.13
  4. Step 4: Simplify right side
    220.32x = 64,033.56
  5. Step 5: Solve for x
    x = 64,033.56/220.32
  6. Step 6: Final answer
    x = 290.64

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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.