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Finding the Fourth Proportional to 344.35, 514.63 and 324.37

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Solution

The fourth proportional to 344.35, 514.63 and 324.37 is: 484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.35 : 514.63 = 324.37 : x
  2. Step 2: Convert to fraction form
    344.35/514.63 = 324.37/x
  3. Step 3: Cross multiply
    344.35x = 514.63 × 324.37
  4. Step 4: Simplify right side
    344.35x = 166,930.53
  5. Step 5: Solve for x
    x = 166,930.53/344.35
  6. Step 6: Final answer
    x = 484.77

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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.