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Finding the Fourth Proportional to 381.02, 525.93 and 241.37

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Solution

The fourth proportional to 381.02, 525.93 and 241.37 is: 333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.02 : 525.93 = 241.37 : x
  2. Step 2: Convert to fraction form
    381.02/525.93 = 241.37/x
  3. Step 3: Cross multiply
    381.02x = 525.93 × 241.37
  4. Step 4: Simplify right side
    381.02x = 126,941.09
  5. Step 5: Solve for x
    x = 126,941.09/381.02
  6. Step 6: Final answer
    x = 333.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.