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Finding the Fourth Proportional to 338.32, 505.49 and 273.52

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Solution

The fourth proportional to 338.32, 505.49 and 273.52 is: 408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 505.49 = 273.52 : x
  2. Step 2: Convert to fraction form
    338.32/505.49 = 273.52/x
  3. Step 3: Cross multiply
    338.32x = 505.49 × 273.52
  4. Step 4: Simplify right side
    338.32x = 138,261.62
  5. Step 5: Solve for x
    x = 138,261.62/338.32
  6. Step 6: Final answer
    x = 408.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.