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Finding the Fourth Proportional to 271.81, 375.07 and 166.95

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Solution

The fourth proportional to 271.81, 375.07 and 166.95 is: 230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.81 : 375.07 = 166.95 : x
  2. Step 2: Convert to fraction form
    271.81/375.07 = 166.95/x
  3. Step 3: Cross multiply
    271.81x = 375.07 × 166.95
  4. Step 4: Simplify right side
    271.81x = 62,617.94
  5. Step 5: Solve for x
    x = 62,617.94/271.81
  6. Step 6: Final answer
    x = 230.37

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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.