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Finding the Fourth Proportional to 309.64, 462.17 and 273.58

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Solution

The fourth proportional to 309.64, 462.17 and 273.58 is: 408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 462.17 = 273.58 : x
  2. Step 2: Convert to fraction form
    309.64/462.17 = 273.58/x
  3. Step 3: Cross multiply
    309.64x = 462.17 × 273.58
  4. Step 4: Simplify right side
    309.64x = 126,440.47
  5. Step 5: Solve for x
    x = 126,440.47/309.64
  6. Step 6: Final answer
    x = 408.35

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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.