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Finding the Fourth Proportional to 299.22, 410.25 and 291.12

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Solution

The fourth proportional to 299.22, 410.25 and 291.12 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.22 : 410.25 = 291.12 : x
  2. Step 2: Convert to fraction form
    299.22/410.25 = 291.12/x
  3. Step 3: Cross multiply
    299.22x = 410.25 × 291.12
  4. Step 4: Simplify right side
    299.22x = 119,431.98
  5. Step 5: Solve for x
    x = 119,431.98/299.22
  6. Step 6: Final answer
    x = 399.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.