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Finding the Fourth Proportional to 183.90, 274.29 and 154.65

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Solution

The fourth proportional to 183.90, 274.29 and 154.65 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.90 : 274.29 = 154.65 : x
  2. Step 2: Convert to fraction form
    183.90/274.29 = 154.65/x
  3. Step 3: Cross multiply
    183.90x = 274.29 × 154.65
  4. Step 4: Simplify right side
    183.90x = 42,418.95
  5. Step 5: Solve for x
    x = 42,418.95/183.90
  6. Step 6: Final answer
    x = 230.66

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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.