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Finding the Fourth Proportional to 344.72, 514.66 and 338.96

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Solution

The fourth proportional to 344.72, 514.66 and 338.96 is: 506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 514.66 = 338.96 : x
  2. Step 2: Convert to fraction form
    344.72/514.66 = 338.96/x
  3. Step 3: Cross multiply
    344.72x = 514.66 × 338.96
  4. Step 4: Simplify right side
    344.72x = 174,449.15
  5. Step 5: Solve for x
    x = 174,449.15/344.72
  6. Step 6: Final answer
    x = 506.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.