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Finding the Fourth Proportional to 306.42, 423.03 and 236.61

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Solution

The fourth proportional to 306.42, 423.03 and 236.61 is: 326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 423.03 = 236.61 : x
  2. Step 2: Convert to fraction form
    306.42/423.03 = 236.61/x
  3. Step 3: Cross multiply
    306.42x = 423.03 × 236.61
  4. Step 4: Simplify right side
    306.42x = 100,093.13
  5. Step 5: Solve for x
    x = 100,093.13/306.42
  6. Step 6: Final answer
    x = 326.65

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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.