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Finding the Fourth Proportional to 271.54, 374.68 and 160.98

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Solution

The fourth proportional to 271.54, 374.68 and 160.98 is: 222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.54 : 374.68 = 160.98 : x
  2. Step 2: Convert to fraction form
    271.54/374.68 = 160.98/x
  3. Step 3: Cross multiply
    271.54x = 374.68 × 160.98
  4. Step 4: Simplify right side
    271.54x = 60,313.88
  5. Step 5: Solve for x
    x = 60,313.88/271.54
  6. Step 6: Final answer
    x = 222.12

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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.