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Finding the Fourth Proportional to 306.15, 421.83 and 236.22

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Solution

The fourth proportional to 306.15, 421.83 and 236.22 is: 325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.15 : 421.83 = 236.22 : x
  2. Step 2: Convert to fraction form
    306.15/421.83 = 236.22/x
  3. Step 3: Cross multiply
    306.15x = 421.83 × 236.22
  4. Step 4: Simplify right side
    306.15x = 99,644.68
  5. Step 5: Solve for x
    x = 99,644.68/306.15
  6. Step 6: Final answer
    x = 325.48

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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.