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Finding the Fourth Proportional to 309.78, 461.03 and 298.26

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Solution

The fourth proportional to 309.78, 461.03 and 298.26 is: 443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.78 : 461.03 = 298.26 : x
  2. Step 2: Convert to fraction form
    309.78/461.03 = 298.26/x
  3. Step 3: Cross multiply
    309.78x = 461.03 × 298.26
  4. Step 4: Simplify right side
    309.78x = 137,505.32
  5. Step 5: Solve for x
    x = 137,505.32/309.78
  6. Step 6: Final answer
    x = 443.88

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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.