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Finding the Fourth Proportional to 334.01, 460.80 and 217.77

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Solution

The fourth proportional to 334.01, 460.80 and 217.77 is: 300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.01 : 460.80 = 217.77 : x
  2. Step 2: Convert to fraction form
    334.01/460.80 = 217.77/x
  3. Step 3: Cross multiply
    334.01x = 460.80 × 217.77
  4. Step 4: Simplify right side
    334.01x = 100,348.42
  5. Step 5: Solve for x
    x = 100,348.42/334.01
  6. Step 6: Final answer
    x = 300.44

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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.