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Finding the Fourth Proportional to 181.53, 271.77 and 135.77

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Solution

The fourth proportional to 181.53, 271.77 and 135.77 is: 203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.53 : 271.77 = 135.77 : x
  2. Step 2: Convert to fraction form
    181.53/271.77 = 135.77/x
  3. Step 3: Cross multiply
    181.53x = 271.77 × 135.77
  4. Step 4: Simplify right side
    181.53x = 36,896.85
  5. Step 5: Solve for x
    x = 36,896.85/181.53
  6. Step 6: Final answer
    x = 203.25

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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.