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Finding the Fourth Proportional to 334.17, 460.85 and 256.41

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Solution

The fourth proportional to 334.17, 460.85 and 256.41 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.17 : 460.85 = 256.41 : x
  2. Step 2: Convert to fraction form
    334.17/460.85 = 256.41/x
  3. Step 3: Cross multiply
    334.17x = 460.85 × 256.41
  4. Step 4: Simplify right side
    334.17x = 118,165.27
  5. Step 5: Solve for x
    x = 118,165.27/334.17
  6. Step 6: Final answer
    x = 353.61

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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.