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Finding the Fourth Proportional to 180.42, 271.67 and 126.66

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Solution

The fourth proportional to 180.42, 271.67 and 126.66 is: 190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 271.67 = 126.66 : x
  2. Step 2: Convert to fraction form
    180.42/271.67 = 126.66/x
  3. Step 3: Cross multiply
    180.42x = 271.67 × 126.66
  4. Step 4: Simplify right side
    180.42x = 34,409.09
  5. Step 5: Solve for x
    x = 34,409.09/180.42
  6. Step 6: Final answer
    x = 190.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.