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Finding the Fourth Proportional to 157.82, 234.83 and 157.28

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Solution

The fourth proportional to 157.82, 234.83 and 157.28 is: 234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.82 : 234.83 = 157.28 : x
  2. Step 2: Convert to fraction form
    157.82/234.83 = 157.28/x
  3. Step 3: Cross multiply
    157.82x = 234.83 × 157.28
  4. Step 4: Simplify right side
    157.82x = 36,933.28
  5. Step 5: Solve for x
    x = 36,933.28/157.82
  6. Step 6: Final answer
    x = 234.03

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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.