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Finding the Fourth Proportional to 157.05, 234.50 and 138.38

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Solution

The fourth proportional to 157.05, 234.50 and 138.38 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.05 : 234.50 = 138.38 : x
  2. Step 2: Convert to fraction form
    157.05/234.50 = 138.38/x
  3. Step 3: Cross multiply
    157.05x = 234.50 × 138.38
  4. Step 4: Simplify right side
    157.05x = 32,448.25
  5. Step 5: Solve for x
    x = 32,448.25/157.05
  6. Step 6: Final answer
    x = 206.61

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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.