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Finding the Fourth Proportional to 273.68, 377.76 and 211.64

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Solution

The fourth proportional to 273.68, 377.76 and 211.64 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.68 : 377.76 = 211.64 : x
  2. Step 2: Convert to fraction form
    273.68/377.76 = 211.64/x
  3. Step 3: Cross multiply
    273.68x = 377.76 × 211.64
  4. Step 4: Simplify right side
    273.68x = 79,949.13
  5. Step 5: Solve for x
    x = 79,949.13/273.68
  6. Step 6: Final answer
    x = 292.13

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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.