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Finding the Fourth Proportional to 273.26, 411.32 and 192.66

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Solution

The fourth proportional to 273.26, 411.32 and 192.66 is: 290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.26 : 411.32 = 192.66 : x
  2. Step 2: Convert to fraction form
    273.26/411.32 = 192.66/x
  3. Step 3: Cross multiply
    273.26x = 411.32 × 192.66
  4. Step 4: Simplify right side
    273.26x = 79,243.95
  5. Step 5: Solve for x
    x = 79,243.95/273.26
  6. Step 6: Final answer
    x = 290.00

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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.