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Finding the Fourth Proportional to 273.63, 377.91 and 186.15

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Solution

The fourth proportional to 273.63, 377.91 and 186.15 is: 257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.63 : 377.91 = 186.15 : x
  2. Step 2: Convert to fraction form
    273.63/377.91 = 186.15/x
  3. Step 3: Cross multiply
    273.63x = 377.91 × 186.15
  4. Step 4: Simplify right side
    273.63x = 70,347.95
  5. Step 5: Solve for x
    x = 70,347.95/273.63
  6. Step 6: Final answer
    x = 257.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.