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Finding the Fourth Proportional to 181.88, 272.22 and 158.94

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Solution

The fourth proportional to 181.88, 272.22 and 158.94 is: 237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.88 : 272.22 = 158.94 : x
  2. Step 2: Convert to fraction form
    181.88/272.22 = 158.94/x
  3. Step 3: Cross multiply
    181.88x = 272.22 × 158.94
  4. Step 4: Simplify right side
    181.88x = 43,266.65
  5. Step 5: Solve for x
    x = 43,266.65/181.88
  6. Step 6: Final answer
    x = 237.89

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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.