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Finding the Fourth Proportional to 309.48, 461.82 and 272.94

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Solution

The fourth proportional to 309.48, 461.82 and 272.94 is: 407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 461.82 = 272.94 : x
  2. Step 2: Convert to fraction form
    309.48/461.82 = 272.94/x
  3. Step 3: Cross multiply
    309.48x = 461.82 × 272.94
  4. Step 4: Simplify right side
    309.48x = 126,049.15
  5. Step 5: Solve for x
    x = 126,049.15/309.48
  6. Step 6: Final answer
    x = 407.29

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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.