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Finding the Fourth Proportional to 251.49, 346.83 and 225.67

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Solution

The fourth proportional to 251.49, 346.83 and 225.67 is: 311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.49 : 346.83 = 225.67 : x
  2. Step 2: Convert to fraction form
    251.49/346.83 = 225.67/x
  3. Step 3: Cross multiply
    251.49x = 346.83 × 225.67
  4. Step 4: Simplify right side
    251.49x = 78,269.13
  5. Step 5: Solve for x
    x = 78,269.13/251.49
  6. Step 6: Final answer
    x = 311.22

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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.