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Finding the Fourth Proportional to 306.46, 459.01 and 229.56

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Solution

The fourth proportional to 306.46, 459.01 and 229.56 is: 343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.46 : 459.01 = 229.56 : x
  2. Step 2: Convert to fraction form
    306.46/459.01 = 229.56/x
  3. Step 3: Cross multiply
    306.46x = 459.01 × 229.56
  4. Step 4: Simplify right side
    306.46x = 105,370.34
  5. Step 5: Solve for x
    x = 105,370.34/306.46
  6. Step 6: Final answer
    x = 343.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.