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Finding the Fourth Proportional to 183.90, 274.68 and 158.30

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Solution

The fourth proportional to 183.90, 274.68 and 158.30 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.90 : 274.68 = 158.30 : x
  2. Step 2: Convert to fraction form
    183.90/274.68 = 158.30/x
  3. Step 3: Cross multiply
    183.90x = 274.68 × 158.30
  4. Step 4: Simplify right side
    183.90x = 43,480.47
  5. Step 5: Solve for x
    x = 43,480.47/183.90
  6. Step 6: Final answer
    x = 236.44

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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.