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Finding the Fourth Proportional to 273.32, 378.74 and 269.98

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Solution

The fourth proportional to 273.32, 378.74 and 269.98 is: 374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.32 : 378.74 = 269.98 : x
  2. Step 2: Convert to fraction form
    273.32/378.74 = 269.98/x
  3. Step 3: Cross multiply
    273.32x = 378.74 × 269.98
  4. Step 4: Simplify right side
    273.32x = 102,252.23
  5. Step 5: Solve for x
    x = 102,252.23/273.32
  6. Step 6: Final answer
    x = 374.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.