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Finding the Fourth Proportional to 334.10, 460.78 and 209.52

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Solution

The fourth proportional to 334.10, 460.78 and 209.52 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.10 : 460.78 = 209.52 : x
  2. Step 2: Convert to fraction form
    334.10/460.78 = 209.52/x
  3. Step 3: Cross multiply
    334.10x = 460.78 × 209.52
  4. Step 4: Simplify right side
    334.10x = 96,542.63
  5. Step 5: Solve for x
    x = 96,542.63/334.10
  6. Step 6: Final answer
    x = 288.96

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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.