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Finding the Fourth Proportional to 309.11, 461.07 and 281.43

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Solution

The fourth proportional to 309.11, 461.07 and 281.43 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.11 : 461.07 = 281.43 : x
  2. Step 2: Convert to fraction form
    309.11/461.07 = 281.43/x
  3. Step 3: Cross multiply
    309.11x = 461.07 × 281.43
  4. Step 4: Simplify right side
    309.11x = 129,758.93
  5. Step 5: Solve for x
    x = 129,758.93/309.11
  6. Step 6: Final answer
    x = 419.78

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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.