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Finding the Fourth Proportional to 299.48, 412.12 and 297.71

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Solution

The fourth proportional to 299.48, 412.12 and 297.71 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.48 : 412.12 = 297.71 : x
  2. Step 2: Convert to fraction form
    299.48/412.12 = 297.71/x
  3. Step 3: Cross multiply
    299.48x = 412.12 × 297.71
  4. Step 4: Simplify right side
    299.48x = 122,692.25
  5. Step 5: Solve for x
    x = 122,692.25/299.48
  6. Step 6: Final answer
    x = 409.68

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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.