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Finding the Fourth Proportional to 187.44, 278.94 and 183.66

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Solution

The fourth proportional to 187.44, 278.94 and 183.66 is: 273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.44 : 278.94 = 183.66 : x
  2. Step 2: Convert to fraction form
    187.44/278.94 = 183.66/x
  3. Step 3: Cross multiply
    187.44x = 278.94 × 183.66
  4. Step 4: Simplify right side
    187.44x = 51,230.12
  5. Step 5: Solve for x
    x = 51,230.12/187.44
  6. Step 6: Final answer
    x = 273.31

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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.