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Finding the Fourth Proportional to 181.69, 271.23 and 158.63

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Solution

The fourth proportional to 181.69, 271.23 and 158.63 is: 236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.69 : 271.23 = 158.63 : x
  2. Step 2: Convert to fraction form
    181.69/271.23 = 158.63/x
  3. Step 3: Cross multiply
    181.69x = 271.23 × 158.63
  4. Step 4: Simplify right side
    181.69x = 43,024.16
  5. Step 5: Solve for x
    x = 43,024.16/181.69
  6. Step 6: Final answer
    x = 236.80

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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.