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Finding the Fourth Proportional to 250.96, 346.98 and 221.80

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Solution

The fourth proportional to 250.96, 346.98 and 221.80 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.96 : 346.98 = 221.80 : x
  2. Step 2: Convert to fraction form
    250.96/346.98 = 221.80/x
  3. Step 3: Cross multiply
    250.96x = 346.98 × 221.80
  4. Step 4: Simplify right side
    250.96x = 76,960.16
  5. Step 5: Solve for x
    x = 76,960.16/250.96
  6. Step 6: Final answer
    x = 306.66

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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.