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Finding the Fourth Proportional to 173.87, 238.62 and 157.46

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Solution

The fourth proportional to 173.87, 238.62 and 157.46 is: 216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.87 : 238.62 = 157.46 : x
  2. Step 2: Convert to fraction form
    173.87/238.62 = 157.46/x
  3. Step 3: Cross multiply
    173.87x = 238.62 × 157.46
  4. Step 4: Simplify right side
    173.87x = 37,572.32
  5. Step 5: Solve for x
    x = 37,572.32/173.87
  6. Step 6: Final answer
    x = 216.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.