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Finding the Fourth Proportional to 381.86, 575.61 and 359.56

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Solution

The fourth proportional to 381.86, 575.61 and 359.56 is: 542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.86 : 575.61 = 359.56 : x
  2. Step 2: Convert to fraction form
    381.86/575.61 = 359.56/x
  3. Step 3: Cross multiply
    381.86x = 575.61 × 359.56
  4. Step 4: Simplify right side
    381.86x = 206,966.33
  5. Step 5: Solve for x
    x = 206,966.33/381.86
  6. Step 6: Final answer
    x = 542.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.