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Finding the Fourth Proportional to 309.42, 464.22 and 126.78

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Solution

The fourth proportional to 309.42, 464.22 and 126.78 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 464.22 = 126.78 : x
  2. Step 2: Convert to fraction form
    309.42/464.22 = 126.78/x
  3. Step 3: Cross multiply
    309.42x = 464.22 × 126.78
  4. Step 4: Simplify right side
    309.42x = 58,853.81
  5. Step 5: Solve for x
    x = 58,853.81/309.42
  6. Step 6: Final answer
    x = 190.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.