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Finding the Fourth Proportional to 300.50, 414.48 and 202.22

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Solution

The fourth proportional to 300.50, 414.48 and 202.22 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.50 : 414.48 = 202.22 : x
  2. Step 2: Convert to fraction form
    300.50/414.48 = 202.22/x
  3. Step 3: Cross multiply
    300.50x = 414.48 × 202.22
  4. Step 4: Simplify right side
    300.50x = 83,816.15
  5. Step 5: Solve for x
    x = 83,816.15/300.50
  6. Step 6: Final answer
    x = 278.92

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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.