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Finding the Fourth Proportional to 251.80, 346.50 and 222.76

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Solution

The fourth proportional to 251.80, 346.50 and 222.76 is: 306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.80 : 346.50 = 222.76 : x
  2. Step 2: Convert to fraction form
    251.80/346.50 = 222.76/x
  3. Step 3: Cross multiply
    251.80x = 346.50 × 222.76
  4. Step 4: Simplify right side
    251.80x = 77,186.34
  5. Step 5: Solve for x
    x = 77,186.34/251.80
  6. Step 6: Final answer
    x = 306.54

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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.