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Finding the Fourth Proportional to 728.10, 1,091.93 and 241.04

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Solution

The fourth proportional to 728.10, 1,091.93 and 241.04 is: 361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.10 : 1,091.93 = 241.04 : x
  2. Step 2: Convert to fraction form
    728.10/1,091.93 = 241.04/x
  3. Step 3: Cross multiply
    728.10x = 1,091.93 × 241.04
  4. Step 4: Simplify right side
    728.10x = 263,192.14
  5. Step 5: Solve for x
    x = 263,192.14/728.10
  6. Step 6: Final answer
    x = 361.48

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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.