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Finding the Fourth Proportional to 252.87, 377.81 and 222.80

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Solution

The fourth proportional to 252.87, 377.81 and 222.80 is: 332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.87 : 377.81 = 222.80 : x
  2. Step 2: Convert to fraction form
    252.87/377.81 = 222.80/x
  3. Step 3: Cross multiply
    252.87x = 377.81 × 222.80
  4. Step 4: Simplify right side
    252.87x = 84,173.06
  5. Step 5: Solve for x
    x = 84,173.06/252.87
  6. Step 6: Final answer
    x = 332.87

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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.