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Finding the Fourth Proportional to 306.50, 422.80 and 223.46

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Solution

The fourth proportional to 306.50, 422.80 and 223.46 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 422.80 = 223.46 : x
  2. Step 2: Convert to fraction form
    306.50/422.80 = 223.46/x
  3. Step 3: Cross multiply
    306.50x = 422.80 × 223.46
  4. Step 4: Simplify right side
    306.50x = 94,478.89
  5. Step 5: Solve for x
    x = 94,478.89/306.50
  6. Step 6: Final answer
    x = 308.25

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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.