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Finding the Fourth Proportional to 157.17, 234.74 and 126.80

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Solution

The fourth proportional to 157.17, 234.74 and 126.80 is: 189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 234.74 = 126.80 : x
  2. Step 2: Convert to fraction form
    157.17/234.74 = 126.80/x
  3. Step 3: Cross multiply
    157.17x = 234.74 × 126.80
  4. Step 4: Simplify right side
    157.17x = 29,765.03
  5. Step 5: Solve for x
    x = 29,765.03/157.17
  6. Step 6: Final answer
    x = 189.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.