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Finding the Fourth Proportional to 334.57, 461.87 and 255.23

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Solution

The fourth proportional to 334.57, 461.87 and 255.23 is: 352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.57 : 461.87 = 255.23 : x
  2. Step 2: Convert to fraction form
    334.57/461.87 = 255.23/x
  3. Step 3: Cross multiply
    334.57x = 461.87 × 255.23
  4. Step 4: Simplify right side
    334.57x = 117,884.87
  5. Step 5: Solve for x
    x = 117,884.87/334.57
  6. Step 6: Final answer
    x = 352.35

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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.