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Finding the Fourth Proportional to 306.01, 422.33 and 223.20

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Solution

The fourth proportional to 306.01, 422.33 and 223.20 is: 308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.01 : 422.33 = 223.20 : x
  2. Step 2: Convert to fraction form
    306.01/422.33 = 223.20/x
  3. Step 3: Cross multiply
    306.01x = 422.33 × 223.20
  4. Step 4: Simplify right side
    306.01x = 94,264.06
  5. Step 5: Solve for x
    x = 94,264.06/306.01
  6. Step 6: Final answer
    x = 308.04

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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.