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Finding the Fourth Proportional to 306.05, 422.40 and 223.05

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Solution

The fourth proportional to 306.05, 422.40 and 223.05 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.05 : 422.40 = 223.05 : x
  2. Step 2: Convert to fraction form
    306.05/422.40 = 223.05/x
  3. Step 3: Cross multiply
    306.05x = 422.40 × 223.05
  4. Step 4: Simplify right side
    306.05x = 94,216.32
  5. Step 5: Solve for x
    x = 94,216.32/306.05
  6. Step 6: Final answer
    x = 307.85

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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.