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Finding the Fourth Proportional to 181.45, 270.73 and 157.45

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Solution

The fourth proportional to 181.45, 270.73 and 157.45 is: 234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.45 : 270.73 = 157.45 : x
  2. Step 2: Convert to fraction form
    181.45/270.73 = 157.45/x
  3. Step 3: Cross multiply
    181.45x = 270.73 × 157.45
  4. Step 4: Simplify right side
    181.45x = 42,626.83
  5. Step 5: Solve for x
    x = 42,626.83/181.45
  6. Step 6: Final answer
    x = 234.92

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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.