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Finding the Fourth Proportional to 182.90, 273.98 and 105.63

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Solution

The fourth proportional to 182.90, 273.98 and 105.63 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.90 : 273.98 = 105.63 : x
  2. Step 2: Convert to fraction form
    182.90/273.98 = 105.63/x
  3. Step 3: Cross multiply
    182.90x = 273.98 × 105.63
  4. Step 4: Simplify right side
    182.90x = 28,939.98
  5. Step 5: Solve for x
    x = 28,939.98/182.90
  6. Step 6: Final answer
    x = 158.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.