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Finding the Fourth Proportional to 380.06, 570.26 and 233.97

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Solution

The fourth proportional to 380.06, 570.26 and 233.97 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 570.26 = 233.97 : x
  2. Step 2: Convert to fraction form
    380.06/570.26 = 233.97/x
  3. Step 3: Cross multiply
    380.06x = 570.26 × 233.97
  4. Step 4: Simplify right side
    380.06x = 133,422.56
  5. Step 5: Solve for x
    x = 133,422.56/380.06
  6. Step 6: Final answer
    x = 351.06

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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.