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Finding the Fourth Proportional to 799.99, 1,200.42 and 338.10

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Solution

The fourth proportional to 799.99, 1,200.42 and 338.10 is: 507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.99 : 1,200.42 = 338.10 : x
  2. Step 2: Convert to fraction form
    799.99/1,200.42 = 338.10/x
  3. Step 3: Cross multiply
    799.99x = 1,200.42 × 338.10
  4. Step 4: Simplify right side
    799.99x = 405,862.00
  5. Step 5: Solve for x
    x = 405,862.00/799.99
  6. Step 6: Final answer
    x = 507.33

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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.