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Finding the Fourth Proportional to 334.29, 461.18 and 209.87

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Solution

The fourth proportional to 334.29, 461.18 and 209.87 is: 289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.29 : 461.18 = 209.87 : x
  2. Step 2: Convert to fraction form
    334.29/461.18 = 209.87/x
  3. Step 3: Cross multiply
    334.29x = 461.18 × 209.87
  4. Step 4: Simplify right side
    334.29x = 96,784.49
  5. Step 5: Solve for x
    x = 96,784.49/334.29
  6. Step 6: Final answer
    x = 289.52

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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.