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Finding the Fourth Proportional to 367.20, 548.15 and 323.15

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Solution

The fourth proportional to 367.20, 548.15 and 323.15 is: 482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.20 : 548.15 = 323.15 : x
  2. Step 2: Convert to fraction form
    367.20/548.15 = 323.15/x
  3. Step 3: Cross multiply
    367.20x = 548.15 × 323.15
  4. Step 4: Simplify right side
    367.20x = 177,130.32
  5. Step 5: Solve for x
    x = 177,130.32/367.20
  6. Step 6: Final answer
    x = 482.38

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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.