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Finding the Fourth Proportional to 273.98, 411.15 and 119.93

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Solution

The fourth proportional to 273.98, 411.15 and 119.93 is: 179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 411.15 = 119.93 : x
  2. Step 2: Convert to fraction form
    273.98/411.15 = 119.93/x
  3. Step 3: Cross multiply
    273.98x = 411.15 × 119.93
  4. Step 4: Simplify right side
    273.98x = 49,307.16
  5. Step 5: Solve for x
    x = 49,307.16/273.98
  6. Step 6: Final answer
    x = 179.96

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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.