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Finding the Fourth Proportional to 309.21, 426.71 and 178.31

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Solution

The fourth proportional to 309.21, 426.71 and 178.31 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.21 : 426.71 = 178.31 : x
  2. Step 2: Convert to fraction form
    309.21/426.71 = 178.31/x
  3. Step 3: Cross multiply
    309.21x = 426.71 × 178.31
  4. Step 4: Simplify right side
    309.21x = 76,083.64
  5. Step 5: Solve for x
    x = 76,083.64/309.21
  6. Step 6: Final answer
    x = 246.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.