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Finding the Fourth Proportional to 309.81, 462.42 and 273.36

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Solution

The fourth proportional to 309.81, 462.42 and 273.36 is: 408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.81 : 462.42 = 273.36 : x
  2. Step 2: Convert to fraction form
    309.81/462.42 = 273.36/x
  3. Step 3: Cross multiply
    309.81x = 462.42 × 273.36
  4. Step 4: Simplify right side
    309.81x = 126,407.13
  5. Step 5: Solve for x
    x = 126,407.13/309.81
  6. Step 6: Final answer
    x = 408.02

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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.