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Finding the Fourth Proportional to 350.84, 523.22 and 299.81

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Solution

The fourth proportional to 350.84, 523.22 and 299.81 is: 447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.84 : 523.22 = 299.81 : x
  2. Step 2: Convert to fraction form
    350.84/523.22 = 299.81/x
  3. Step 3: Cross multiply
    350.84x = 523.22 × 299.81
  4. Step 4: Simplify right side
    350.84x = 156,866.40
  5. Step 5: Solve for x
    x = 156,866.40/350.84
  6. Step 6: Final answer
    x = 447.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.