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Finding the Fourth Proportional to 265.28, 366.22 and 190.65

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Solution

The fourth proportional to 265.28, 366.22 and 190.65 is: 263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.28 : 366.22 = 190.65 : x
  2. Step 2: Convert to fraction form
    265.28/366.22 = 190.65/x
  3. Step 3: Cross multiply
    265.28x = 366.22 × 190.65
  4. Step 4: Simplify right side
    265.28x = 69,821.45
  5. Step 5: Solve for x
    x = 69,821.45/265.28
  6. Step 6: Final answer
    x = 263.20

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Why These Related Problems?

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