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Finding the Fourth Proportional to 309.63, 462.18 and 273.60

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Solution

The fourth proportional to 309.63, 462.18 and 273.60 is: 408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.63 : 462.18 = 273.60 : x
  2. Step 2: Convert to fraction form
    309.63/462.18 = 273.60/x
  3. Step 3: Cross multiply
    309.63x = 462.18 × 273.60
  4. Step 4: Simplify right side
    309.63x = 126,452.45
  5. Step 5: Solve for x
    x = 126,452.45/309.63
  6. Step 6: Final answer
    x = 408.40

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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.