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Finding the Fourth Proportional to 265.20, 366.22 and 192.02

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Solution

The fourth proportional to 265.20, 366.22 and 192.02 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.20 : 366.22 = 192.02 : x
  2. Step 2: Convert to fraction form
    265.20/366.22 = 192.02/x
  3. Step 3: Cross multiply
    265.20x = 366.22 × 192.02
  4. Step 4: Simplify right side
    265.20x = 70,321.56
  5. Step 5: Solve for x
    x = 70,321.56/265.20
  6. Step 6: Final answer
    x = 265.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.