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Finding the Fourth Proportional to 163.42, 245.02 and 82.32

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Solution

The fourth proportional to 163.42, 245.02 and 82.32 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.42 : 245.02 = 82.32 : x
  2. Step 2: Convert to fraction form
    163.42/245.02 = 82.32/x
  3. Step 3: Cross multiply
    163.42x = 245.02 × 82.32
  4. Step 4: Simplify right side
    163.42x = 20,170.05
  5. Step 5: Solve for x
    x = 20,170.05/163.42
  6. Step 6: Final answer
    x = 123.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.