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Finding the Fourth Proportional to 164.60, 245.87 and 161.56

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Solution

The fourth proportional to 164.60, 245.87 and 161.56 is: 241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.60 : 245.87 = 161.56 : x
  2. Step 2: Convert to fraction form
    164.60/245.87 = 161.56/x
  3. Step 3: Cross multiply
    164.60x = 245.87 × 161.56
  4. Step 4: Simplify right side
    164.60x = 39,722.76
  5. Step 5: Solve for x
    x = 39,722.76/164.60
  6. Step 6: Final answer
    x = 241.33

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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.