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Finding the Fourth Proportional to 273.53, 377.27 and 193.64

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Solution

The fourth proportional to 273.53, 377.27 and 193.64 is: 267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.53 : 377.27 = 193.64 : x
  2. Step 2: Convert to fraction form
    273.53/377.27 = 193.64/x
  3. Step 3: Cross multiply
    273.53x = 377.27 × 193.64
  4. Step 4: Simplify right side
    273.53x = 73,053.59
  5. Step 5: Solve for x
    x = 73,053.59/273.53
  6. Step 6: Final answer
    x = 267.08

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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.