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Finding the Fourth Proportional to 344.30, 514.92 and 306.05

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Solution

The fourth proportional to 344.30, 514.92 and 306.05 is: 457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.30 : 514.92 = 306.05 : x
  2. Step 2: Convert to fraction form
    344.30/514.92 = 306.05/x
  3. Step 3: Cross multiply
    344.30x = 514.92 × 306.05
  4. Step 4: Simplify right side
    344.30x = 157,591.27
  5. Step 5: Solve for x
    x = 157,591.27/344.30
  6. Step 6: Final answer
    x = 457.71

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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.