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Finding the Fourth Proportional to 157.38, 234.82 and 134.30

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Solution

The fourth proportional to 157.38, 234.82 and 134.30 is: 200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 234.82 = 134.30 : x
  2. Step 2: Convert to fraction form
    157.38/234.82 = 134.30/x
  3. Step 3: Cross multiply
    157.38x = 234.82 × 134.30
  4. Step 4: Simplify right side
    157.38x = 31,536.33
  5. Step 5: Solve for x
    x = 31,536.33/157.38
  6. Step 6: Final answer
    x = 200.38

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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.