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Finding the Fourth Proportional to 183.89, 274.28 and 154.67

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Solution

The fourth proportional to 183.89, 274.28 and 154.67 is: 230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.89 : 274.28 = 154.67 : x
  2. Step 2: Convert to fraction form
    183.89/274.28 = 154.67/x
  3. Step 3: Cross multiply
    183.89x = 274.28 × 154.67
  4. Step 4: Simplify right side
    183.89x = 42,420.74
  5. Step 5: Solve for x
    x = 42,420.74/183.89
  6. Step 6: Final answer
    x = 230.69

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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.