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Finding the Fourth Proportional to 233.16, 321.35 and 163.10

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Solution

The fourth proportional to 233.16, 321.35 and 163.10 is: 224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 321.35 = 163.10 : x
  2. Step 2: Convert to fraction form
    233.16/321.35 = 163.10/x
  3. Step 3: Cross multiply
    233.16x = 321.35 × 163.10
  4. Step 4: Simplify right side
    233.16x = 52,409.76
  5. Step 5: Solve for x
    x = 52,409.76/233.16
  6. Step 6: Final answer
    x = 224.78

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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.