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Finding the Fourth Proportional to 173.21, 238.83 and 159.33

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Solution

The fourth proportional to 173.21, 238.83 and 159.33 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.21 : 238.83 = 159.33 : x
  2. Step 2: Convert to fraction form
    173.21/238.83 = 159.33/x
  3. Step 3: Cross multiply
    173.21x = 238.83 × 159.33
  4. Step 4: Simplify right side
    173.21x = 38,052.78
  5. Step 5: Solve for x
    x = 38,052.78/173.21
  6. Step 6: Final answer
    x = 219.70

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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.