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Finding the Fourth Proportional to 238.51, 357.75 and 142.25

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Solution

The fourth proportional to 238.51, 357.75 and 142.25 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.51 : 357.75 = 142.25 : x
  2. Step 2: Convert to fraction form
    238.51/357.75 = 142.25/x
  3. Step 3: Cross multiply
    238.51x = 357.75 × 142.25
  4. Step 4: Simplify right side
    238.51x = 50,889.94
  5. Step 5: Solve for x
    x = 50,889.94/238.51
  6. Step 6: Final answer
    x = 213.37

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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.