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Finding the Fourth Proportional to 309.11, 461.41 and 270.19

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Solution

The fourth proportional to 309.11, 461.41 and 270.19 is: 403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.11 : 461.41 = 270.19 : x
  2. Step 2: Convert to fraction form
    309.11/461.41 = 270.19/x
  3. Step 3: Cross multiply
    309.11x = 461.41 × 270.19
  4. Step 4: Simplify right side
    309.11x = 124,669.04
  5. Step 5: Solve for x
    x = 124,669.04/309.11
  6. Step 6: Final answer
    x = 403.31

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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.