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Finding the Fourth Proportional to 299.07, 411.48 and 233.46

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Solution

The fourth proportional to 299.07, 411.48 and 233.46 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 411.48 = 233.46 : x
  2. Step 2: Convert to fraction form
    299.07/411.48 = 233.46/x
  3. Step 3: Cross multiply
    299.07x = 411.48 × 233.46
  4. Step 4: Simplify right side
    299.07x = 96,064.12
  5. Step 5: Solve for x
    x = 96,064.12/299.07
  6. Step 6: Final answer
    x = 321.21

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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.