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Finding the Fourth Proportional to 344.75, 514.25 and 323.22

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Solution

The fourth proportional to 344.75, 514.25 and 323.22 is: 482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 514.25 = 323.22 : x
  2. Step 2: Convert to fraction form
    344.75/514.25 = 323.22/x
  3. Step 3: Cross multiply
    344.75x = 514.25 × 323.22
  4. Step 4: Simplify right side
    344.75x = 166,215.89
  5. Step 5: Solve for x
    x = 166,215.89/344.75
  6. Step 6: Final answer
    x = 482.13

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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.