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Finding the Fourth Proportional to 344.75, 514.19 and 325.82

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Solution

The fourth proportional to 344.75, 514.19 and 325.82 is: 485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 514.19 = 325.82 : x
  2. Step 2: Convert to fraction form
    344.75/514.19 = 325.82/x
  3. Step 3: Cross multiply
    344.75x = 514.19 × 325.82
  4. Step 4: Simplify right side
    344.75x = 167,535.49
  5. Step 5: Solve for x
    x = 167,535.49/344.75
  6. Step 6: Final answer
    x = 485.97

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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.