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Finding the Fourth Proportional to 299.36, 411.90 and 292.16

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Solution

The fourth proportional to 299.36, 411.90 and 292.16 is: 401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 411.90 = 292.16 : x
  2. Step 2: Convert to fraction form
    299.36/411.90 = 292.16/x
  3. Step 3: Cross multiply
    299.36x = 411.90 × 292.16
  4. Step 4: Simplify right side
    299.36x = 120,340.70
  5. Step 5: Solve for x
    x = 120,340.70/299.36
  6. Step 6: Final answer
    x = 401.99

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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.