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Finding the Fourth Proportional to 334.14, 461.43 and 331.26

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Solution

The fourth proportional to 334.14, 461.43 and 331.26 is: 457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.14 : 461.43 = 331.26 : x
  2. Step 2: Convert to fraction form
    334.14/461.43 = 331.26/x
  3. Step 3: Cross multiply
    334.14x = 461.43 × 331.26
  4. Step 4: Simplify right side
    334.14x = 152,853.30
  5. Step 5: Solve for x
    x = 152,853.30/334.14
  6. Step 6: Final answer
    x = 457.45

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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.