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Finding the Fourth Proportional to 181.80, 271.44 and 158.94

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Solution

The fourth proportional to 181.80, 271.44 and 158.94 is: 237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 271.44 = 158.94 : x
  2. Step 2: Convert to fraction form
    181.80/271.44 = 158.94/x
  3. Step 3: Cross multiply
    181.80x = 271.44 × 158.94
  4. Step 4: Simplify right side
    181.80x = 43,142.67
  5. Step 5: Solve for x
    x = 43,142.67/181.80
  6. Step 6: Final answer
    x = 237.31

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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.