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Finding the Fourth Proportional to 161.22, 241.08 and 157.38

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Solution

The fourth proportional to 161.22, 241.08 and 157.38 is: 235.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.22 : 241.08 = 157.38 : x
  2. Step 2: Convert to fraction form
    161.22/241.08 = 157.38/x
  3. Step 3: Cross multiply
    161.22x = 241.08 × 157.38
  4. Step 4: Simplify right side
    161.22x = 37,941.17
  5. Step 5: Solve for x
    x = 37,941.17/161.22
  6. Step 6: Final answer
    x = 235.34

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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.