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Finding the Fourth Proportional to 165.94, 247.66 and 161.62

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Solution

The fourth proportional to 165.94, 247.66 and 161.62 is: 241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 247.66 = 161.62 : x
  2. Step 2: Convert to fraction form
    165.94/247.66 = 161.62/x
  3. Step 3: Cross multiply
    165.94x = 247.66 × 161.62
  4. Step 4: Simplify right side
    165.94x = 40,026.81
  5. Step 5: Solve for x
    x = 40,026.81/165.94
  6. Step 6: Final answer
    x = 241.21

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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.