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Finding the Fourth Proportional to 220.02, 327.91 and 210.96

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Solution

The fourth proportional to 220.02, 327.91 and 210.96 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.02 : 327.91 = 210.96 : x
  2. Step 2: Convert to fraction form
    220.02/327.91 = 210.96/x
  3. Step 3: Cross multiply
    220.02x = 327.91 × 210.96
  4. Step 4: Simplify right side
    220.02x = 69,175.89
  5. Step 5: Solve for x
    x = 69,175.89/220.02
  6. Step 6: Final answer
    x = 314.41

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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.