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Finding the Fourth Proportional to 355.27, 531.81 and 192.55

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Solution

The fourth proportional to 355.27, 531.81 and 192.55 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.27 : 531.81 = 192.55 : x
  2. Step 2: Convert to fraction form
    355.27/531.81 = 192.55/x
  3. Step 3: Cross multiply
    355.27x = 531.81 × 192.55
  4. Step 4: Simplify right side
    355.27x = 102,399.05
  5. Step 5: Solve for x
    x = 102,399.05/355.27
  6. Step 6: Final answer
    x = 288.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.