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Finding the Fourth Proportional to 299.33, 411.84 and 292.43

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Solution

The fourth proportional to 299.33, 411.84 and 292.43 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.33 : 411.84 = 292.43 : x
  2. Step 2: Convert to fraction form
    299.33/411.84 = 292.43/x
  3. Step 3: Cross multiply
    299.33x = 411.84 × 292.43
  4. Step 4: Simplify right side
    299.33x = 120,434.37
  5. Step 5: Solve for x
    x = 120,434.37/299.33
  6. Step 6: Final answer
    x = 402.35

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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.