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Finding the Fourth Proportional to 306.20, 422.21 and 288.31

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Solution

The fourth proportional to 306.20, 422.21 and 288.31 is: 397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.20 : 422.21 = 288.31 : x
  2. Step 2: Convert to fraction form
    306.20/422.21 = 288.31/x
  3. Step 3: Cross multiply
    306.20x = 422.21 × 288.31
  4. Step 4: Simplify right side
    306.20x = 121,727.37
  5. Step 5: Solve for x
    x = 121,727.37/306.20
  6. Step 6: Final answer
    x = 397.54

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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.