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Finding the Fourth Proportional to 157.44, 216.41 and 138.92

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Solution

The fourth proportional to 157.44, 216.41 and 138.92 is: 190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.44 : 216.41 = 138.92 : x
  2. Step 2: Convert to fraction form
    157.44/216.41 = 138.92/x
  3. Step 3: Cross multiply
    157.44x = 216.41 × 138.92
  4. Step 4: Simplify right side
    157.44x = 30,061.90
  5. Step 5: Solve for x
    x = 30,061.90/157.44
  6. Step 6: Final answer
    x = 190.94

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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.