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Finding the Fourth Proportional to 334, 499.77 and 211.69

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Solution

The fourth proportional to 334, 499.77 and 211.69 is: 316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 499.77 = 211.69 : x
  2. Step 2: Convert to fraction form
    334/499.77 = 211.69/x
  3. Step 3: Cross multiply
    334x = 499.77 × 211.69
  4. Step 4: Simplify right side
    334x = 105,796.31
  5. Step 5: Solve for x
    x = 105,796.31/334
  6. Step 6: Final answer
    x = 316.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.