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Finding the Fourth Proportional to 367.54, 553.49 and 320.02

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Solution

The fourth proportional to 367.54, 553.49 and 320.02 is: 481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.54 : 553.49 = 320.02 : x
  2. Step 2: Convert to fraction form
    367.54/553.49 = 320.02/x
  3. Step 3: Cross multiply
    367.54x = 553.49 × 320.02
  4. Step 4: Simplify right side
    367.54x = 177,127.87
  5. Step 5: Solve for x
    x = 177,127.87/367.54
  6. Step 6: Final answer
    x = 481.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.