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Finding the Fourth Proportional to 299.15, 412.61 and 262.25

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Solution

The fourth proportional to 299.15, 412.61 and 262.25 is: 361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.15 : 412.61 = 262.25 : x
  2. Step 2: Convert to fraction form
    299.15/412.61 = 262.25/x
  3. Step 3: Cross multiply
    299.15x = 412.61 × 262.25
  4. Step 4: Simplify right side
    299.15x = 108,203.60
  5. Step 5: Solve for x
    x = 108,203.60/299.15
  6. Step 6: Final answer
    x = 361.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.