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Finding the Fourth Proportional to 299.18, 411.64 and 292.28

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Solution

The fourth proportional to 299.18, 411.64 and 292.28 is: 402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.18 : 411.64 = 292.28 : x
  2. Step 2: Convert to fraction form
    299.18/411.64 = 292.28/x
  3. Step 3: Cross multiply
    299.18x = 411.64 × 292.28
  4. Step 4: Simplify right side
    299.18x = 120,311.35
  5. Step 5: Solve for x
    x = 120,311.35/299.18
  6. Step 6: Final answer
    x = 402.13

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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.