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Finding the Fourth Proportional to 157.96, 235.43 and 149.14

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Solution

The fourth proportional to 157.96, 235.43 and 149.14 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.96 : 235.43 = 149.14 : x
  2. Step 2: Convert to fraction form
    157.96/235.43 = 149.14/x
  3. Step 3: Cross multiply
    157.96x = 235.43 × 149.14
  4. Step 4: Simplify right side
    157.96x = 35,112.03
  5. Step 5: Solve for x
    x = 35,112.03/157.96
  6. Step 6: Final answer
    x = 222.28

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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.