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Finding the Fourth Proportional to 303.74, 419.03 and 220.66

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Solution

The fourth proportional to 303.74, 419.03 and 220.66 is: 304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.74 : 419.03 = 220.66 : x
  2. Step 2: Convert to fraction form
    303.74/419.03 = 220.66/x
  3. Step 3: Cross multiply
    303.74x = 419.03 × 220.66
  4. Step 4: Simplify right side
    303.74x = 92,463.16
  5. Step 5: Solve for x
    x = 92,463.16/303.74
  6. Step 6: Final answer
    x = 304.42

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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.