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Finding the Fourth Proportional to 238.21, 356.86 and 140.50

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Solution

The fourth proportional to 238.21, 356.86 and 140.50 is: 210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.21 : 356.86 = 140.50 : x
  2. Step 2: Convert to fraction form
    238.21/356.86 = 140.50/x
  3. Step 3: Cross multiply
    238.21x = 356.86 × 140.50
  4. Step 4: Simplify right side
    238.21x = 50,138.66
  5. Step 5: Solve for x
    x = 50,138.66/238.21
  6. Step 6: Final answer
    x = 210.48

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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.