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Finding the Fourth Proportional to 181.99, 271.83 and 157.69

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Solution

The fourth proportional to 181.99, 271.83 and 157.69 is: 235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.99 : 271.83 = 157.69 : x
  2. Step 2: Convert to fraction form
    181.99/271.83 = 157.69/x
  3. Step 3: Cross multiply
    181.99x = 271.83 × 157.69
  4. Step 4: Simplify right side
    181.99x = 42,865.69
  5. Step 5: Solve for x
    x = 42,865.69/181.99
  6. Step 6: Final answer
    x = 235.53

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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.