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Finding the Fourth Proportional to 250.77, 377.67 and 222.24

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Solution

The fourth proportional to 250.77, 377.67 and 222.24 is: 334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.77 : 377.67 = 222.24 : x
  2. Step 2: Convert to fraction form
    250.77/377.67 = 222.24/x
  3. Step 3: Cross multiply
    250.77x = 377.67 × 222.24
  4. Step 4: Simplify right side
    250.77x = 83,933.38
  5. Step 5: Solve for x
    x = 83,933.38/250.77
  6. Step 6: Final answer
    x = 334.70

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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.