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Finding the Fourth Proportional to 486.06, 728.64 and 161.20

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Solution

The fourth proportional to 486.06, 728.64 and 161.20 is: 241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 728.64 = 161.20 : x
  2. Step 2: Convert to fraction form
    486.06/728.64 = 161.20/x
  3. Step 3: Cross multiply
    486.06x = 728.64 × 161.20
  4. Step 4: Simplify right side
    486.06x = 117,456.77
  5. Step 5: Solve for x
    x = 117,456.77/486.06
  6. Step 6: Final answer
    x = 241.65

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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.