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Finding the Fourth Proportional to 174.19, 260.01 and 161.81

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Solution

The fourth proportional to 174.19, 260.01 and 161.81 is: 241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.19 : 260.01 = 161.81 : x
  2. Step 2: Convert to fraction form
    174.19/260.01 = 161.81/x
  3. Step 3: Cross multiply
    174.19x = 260.01 × 161.81
  4. Step 4: Simplify right side
    174.19x = 42,072.22
  5. Step 5: Solve for x
    x = 42,072.22/174.19
  6. Step 6: Final answer
    x = 241.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.