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Finding the Fourth Proportional to 299.35, 412.90 and 192.95

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Solution

The fourth proportional to 299.35, 412.90 and 192.95 is: 266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 412.90 = 192.95 : x
  2. Step 2: Convert to fraction form
    299.35/412.90 = 192.95/x
  3. Step 3: Cross multiply
    299.35x = 412.90 × 192.95
  4. Step 4: Simplify right side
    299.35x = 79,671.46
  5. Step 5: Solve for x
    x = 79,671.46/299.35
  6. Step 6: Final answer
    x = 266.15

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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.