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Finding the Fourth Proportional to 233.05, 321.29 and 163.01

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Solution

The fourth proportional to 233.05, 321.29 and 163.01 is: 224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.05 : 321.29 = 163.01 : x
  2. Step 2: Convert to fraction form
    233.05/321.29 = 163.01/x
  3. Step 3: Cross multiply
    233.05x = 321.29 × 163.01
  4. Step 4: Simplify right side
    233.05x = 52,373.48
  5. Step 5: Solve for x
    x = 52,373.48/233.05
  6. Step 6: Final answer
    x = 224.73

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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.