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Finding the Fourth Proportional to 334.47, 461.75 and 308.12

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Solution

The fourth proportional to 334.47, 461.75 and 308.12 is: 425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.47 : 461.75 = 308.12 : x
  2. Step 2: Convert to fraction form
    334.47/461.75 = 308.12/x
  3. Step 3: Cross multiply
    334.47x = 461.75 × 308.12
  4. Step 4: Simplify right side
    334.47x = 142,274.41
  5. Step 5: Solve for x
    x = 142,274.41/334.47
  6. Step 6: Final answer
    x = 425.37

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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.