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Finding the Fourth Proportional to 181.97, 271.78 and 157.67

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Solution

The fourth proportional to 181.97, 271.78 and 157.67 is: 235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.97 : 271.78 = 157.67 : x
  2. Step 2: Convert to fraction form
    181.97/271.78 = 157.67/x
  3. Step 3: Cross multiply
    181.97x = 271.78 × 157.67
  4. Step 4: Simplify right side
    181.97x = 42,850.76
  5. Step 5: Solve for x
    x = 42,850.76/181.97
  6. Step 6: Final answer
    x = 235.48

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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.