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Finding the Fourth Proportional to 381.09, 525.47 and 281.66

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Solution

The fourth proportional to 381.09, 525.47 and 281.66 is: 388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 525.47 = 281.66 : x
  2. Step 2: Convert to fraction form
    381.09/525.47 = 281.66/x
  3. Step 3: Cross multiply
    381.09x = 525.47 × 281.66
  4. Step 4: Simplify right side
    381.09x = 148,001.25
  5. Step 5: Solve for x
    x = 148,001.25/381.09
  6. Step 6: Final answer
    x = 388.36

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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.