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Finding the Fourth Proportional to 273.06, 411.12 and 192.48

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Solution

The fourth proportional to 273.06, 411.12 and 192.48 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.06 : 411.12 = 192.48 : x
  2. Step 2: Convert to fraction form
    273.06/411.12 = 192.48/x
  3. Step 3: Cross multiply
    273.06x = 411.12 × 192.48
  4. Step 4: Simplify right side
    273.06x = 79,132.38
  5. Step 5: Solve for x
    x = 79,132.38/273.06
  6. Step 6: Final answer
    x = 289.80

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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.