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Finding the Fourth Proportional to 378.02, 566.73 and 241.04

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Solution

The fourth proportional to 378.02, 566.73 and 241.04 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.02 : 566.73 = 241.04 : x
  2. Step 2: Convert to fraction form
    378.02/566.73 = 241.04/x
  3. Step 3: Cross multiply
    378.02x = 566.73 × 241.04
  4. Step 4: Simplify right side
    378.02x = 136,601.77
  5. Step 5: Solve for x
    x = 136,601.77/378.02
  6. Step 6: Final answer
    x = 361.37

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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.