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Finding the Fourth Proportional to 271.73, 374.94 and 153.67

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Solution

The fourth proportional to 271.73, 374.94 and 153.67 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.73 : 374.94 = 153.67 : x
  2. Step 2: Convert to fraction form
    271.73/374.94 = 153.67/x
  3. Step 3: Cross multiply
    271.73x = 374.94 × 153.67
  4. Step 4: Simplify right side
    271.73x = 57,617.41
  5. Step 5: Solve for x
    x = 57,617.41/271.73
  6. Step 6: Final answer
    x = 212.04

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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.