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Finding the Fourth Proportional to 309.21, 462.11 and 250.82

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Solution

The fourth proportional to 309.21, 462.11 and 250.82 is: 374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 462.11 = 250.82 : x
  2. Step 2: Convert to fraction form
    309.21/462.11 = 250.82/x
  3. Step 3: Cross multiply
    309.21x = 462.11 × 250.82
  4. Step 4: Simplify right side
    309.21x = 115,902.87
  5. Step 5: Solve for x
    x = 115,902.87/309.21
  6. Step 6: Final answer
    x = 374.84

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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.