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Finding the Fourth Proportional to 163.22, 245.12 and 156.70

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Solution

The fourth proportional to 163.22, 245.12 and 156.70 is: 235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.22 : 245.12 = 156.70 : x
  2. Step 2: Convert to fraction form
    163.22/245.12 = 156.70/x
  3. Step 3: Cross multiply
    163.22x = 245.12 × 156.70
  4. Step 4: Simplify right side
    163.22x = 38,410.30
  5. Step 5: Solve for x
    x = 38,410.30/163.22
  6. Step 6: Final answer
    x = 235.33

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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.