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Finding the Fourth Proportional to 181.06, 270.94 and 156.77

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Solution

The fourth proportional to 181.06, 270.94 and 156.77 is: 234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.06 : 270.94 = 156.77 : x
  2. Step 2: Convert to fraction form
    181.06/270.94 = 156.77/x
  3. Step 3: Cross multiply
    181.06x = 270.94 × 156.77
  4. Step 4: Simplify right side
    181.06x = 42,475.76
  5. Step 5: Solve for x
    x = 42,475.76/181.06
  6. Step 6: Final answer
    x = 234.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.