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Finding the Fourth Proportional to 334.40, 460.72 and 245.70

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Solution

The fourth proportional to 334.40, 460.72 and 245.70 is: 338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 460.72 = 245.70 : x
  2. Step 2: Convert to fraction form
    334.40/460.72 = 245.70/x
  3. Step 3: Cross multiply
    334.40x = 460.72 × 245.70
  4. Step 4: Simplify right side
    334.40x = 113,198.90
  5. Step 5: Solve for x
    x = 113,198.90/334.40
  6. Step 6: Final answer
    x = 338.52

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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.