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Finding the Fourth Proportional to 271.81, 375.01 and 161.31

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Solution

The fourth proportional to 271.81, 375.01 and 161.31 is: 222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.81 : 375.01 = 161.31 : x
  2. Step 2: Convert to fraction form
    271.81/375.01 = 161.31/x
  3. Step 3: Cross multiply
    271.81x = 375.01 × 161.31
  4. Step 4: Simplify right side
    271.81x = 60,492.86
  5. Step 5: Solve for x
    x = 60,492.86/271.81
  6. Step 6: Final answer
    x = 222.56

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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.