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Finding the Fourth Proportional to 174.12, 260.62 and 161.30

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Solution

The fourth proportional to 174.12, 260.62 and 161.30 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.12 : 260.62 = 161.30 : x
  2. Step 2: Convert to fraction form
    174.12/260.62 = 161.30/x
  3. Step 3: Cross multiply
    174.12x = 260.62 × 161.30
  4. Step 4: Simplify right side
    174.12x = 42,038.01
  5. Step 5: Solve for x
    x = 42,038.01/174.12
  6. Step 6: Final answer
    x = 241.43

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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.