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Finding the Fourth Proportional to 181.89, 271.43 and 162.42

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Solution

The fourth proportional to 181.89, 271.43 and 162.42 is: 242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.89 : 271.43 = 162.42 : x
  2. Step 2: Convert to fraction form
    181.89/271.43 = 162.42/x
  3. Step 3: Cross multiply
    181.89x = 271.43 × 162.42
  4. Step 4: Simplify right side
    181.89x = 44,085.80
  5. Step 5: Solve for x
    x = 44,085.80/181.89
  6. Step 6: Final answer
    x = 242.38

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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.