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Finding the Fourth Proportional to 183.97, 274.76 and 159.67

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Solution

The fourth proportional to 183.97, 274.76 and 159.67 is: 238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.97 : 274.76 = 159.67 : x
  2. Step 2: Convert to fraction form
    183.97/274.76 = 159.67/x
  3. Step 3: Cross multiply
    183.97x = 274.76 × 159.67
  4. Step 4: Simplify right side
    183.97x = 43,870.93
  5. Step 5: Solve for x
    x = 43,870.93/183.97
  6. Step 6: Final answer
    x = 238.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.