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Finding the Fourth Proportional to 271.92, 375.32 and 161.40

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Solution

The fourth proportional to 271.92, 375.32 and 161.40 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.92 : 375.32 = 161.40 : x
  2. Step 2: Convert to fraction form
    271.92/375.32 = 161.40/x
  3. Step 3: Cross multiply
    271.92x = 375.32 × 161.40
  4. Step 4: Simplify right side
    271.92x = 60,576.65
  5. Step 5: Solve for x
    x = 60,576.65/271.92
  6. Step 6: Final answer
    x = 222.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.