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Finding the Fourth Proportional to 220.03, 303.48 and 149.96

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Solution

The fourth proportional to 220.03, 303.48 and 149.96 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.03 : 303.48 = 149.96 : x
  2. Step 2: Convert to fraction form
    220.03/303.48 = 149.96/x
  3. Step 3: Cross multiply
    220.03x = 303.48 × 149.96
  4. Step 4: Simplify right side
    220.03x = 45,510.62
  5. Step 5: Solve for x
    x = 45,510.62/220.03
  6. Step 6: Final answer
    x = 206.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.