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Finding the Fourth Proportional to 334.08, 461.40 and 245.76

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Solution

The fourth proportional to 334.08, 461.40 and 245.76 is: 339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.08 : 461.40 = 245.76 : x
  2. Step 2: Convert to fraction form
    334.08/461.40 = 245.76/x
  3. Step 3: Cross multiply
    334.08x = 461.40 × 245.76
  4. Step 4: Simplify right side
    334.08x = 113,393.66
  5. Step 5: Solve for x
    x = 113,393.66/334.08
  6. Step 6: Final answer
    x = 339.42

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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.