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Finding the Fourth Proportional to 311.37, 432.50 and 306.41

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Solution

The fourth proportional to 311.37, 432.50 and 306.41 is: 425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.37 : 432.50 = 306.41 : x
  2. Step 2: Convert to fraction form
    311.37/432.50 = 306.41/x
  3. Step 3: Cross multiply
    311.37x = 432.50 × 306.41
  4. Step 4: Simplify right side
    311.37x = 132,522.33
  5. Step 5: Solve for x
    x = 132,522.33/311.37
  6. Step 6: Final answer
    x = 425.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.