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Finding the Fourth Proportional to 378.54, 571.05 and 367.20

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Solution

The fourth proportional to 378.54, 571.05 and 367.20 is: 553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.54 : 571.05 = 367.20 : x
  2. Step 2: Convert to fraction form
    378.54/571.05 = 367.20/x
  3. Step 3: Cross multiply
    378.54x = 571.05 × 367.20
  4. Step 4: Simplify right side
    378.54x = 209,689.56
  5. Step 5: Solve for x
    x = 209,689.56/378.54
  6. Step 6: Final answer
    x = 553.94

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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.