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Finding the Fourth Proportional to 271.70, 374.87 and 178.43

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Solution

The fourth proportional to 271.70, 374.87 and 178.43 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.70 : 374.87 = 178.43 : x
  2. Step 2: Convert to fraction form
    271.70/374.87 = 178.43/x
  3. Step 3: Cross multiply
    271.70x = 374.87 × 178.43
  4. Step 4: Simplify right side
    271.70x = 66,888.05
  5. Step 5: Solve for x
    x = 66,888.05/271.70
  6. Step 6: Final answer
    x = 246.18

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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.