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Finding the Fourth Proportional to 271.70, 375 and 178.46

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Solution

The fourth proportional to 271.70, 375 and 178.46 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.70 : 375 = 178.46 : x
  2. Step 2: Convert to fraction form
    271.70/375 = 178.46/x
  3. Step 3: Cross multiply
    271.70x = 375 × 178.46
  4. Step 4: Simplify right side
    271.70x = 66,922.50
  5. Step 5: Solve for x
    x = 66,922.50/271.70
  6. Step 6: Final answer
    x = 246.31

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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.