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Finding the Fourth Proportional to 220.96, 333.07 and 202.47

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Solution

The fourth proportional to 220.96, 333.07 and 202.47 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.96 : 333.07 = 202.47 : x
  2. Step 2: Convert to fraction form
    220.96/333.07 = 202.47/x
  3. Step 3: Cross multiply
    220.96x = 333.07 × 202.47
  4. Step 4: Simplify right side
    220.96x = 67,435.67
  5. Step 5: Solve for x
    x = 67,435.67/220.96
  6. Step 6: Final answer
    x = 305.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.