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Finding the Fourth Proportional to 334.58, 504.41 and 311.09

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Solution

The fourth proportional to 334.58, 504.41 and 311.09 is: 468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.58 : 504.41 = 311.09 : x
  2. Step 2: Convert to fraction form
    334.58/504.41 = 311.09/x
  3. Step 3: Cross multiply
    334.58x = 504.41 × 311.09
  4. Step 4: Simplify right side
    334.58x = 156,912.83
  5. Step 5: Solve for x
    x = 156,912.83/334.58
  6. Step 6: Final answer
    x = 468.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.