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Finding the Fourth Proportional to 273.69, 376.38 and 266.40

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Solution

The fourth proportional to 273.69, 376.38 and 266.40 is: 366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 376.38 = 266.40 : x
  2. Step 2: Convert to fraction form
    273.69/376.38 = 266.40/x
  3. Step 3: Cross multiply
    273.69x = 376.38 × 266.40
  4. Step 4: Simplify right side
    273.69x = 100,267.63
  5. Step 5: Solve for x
    x = 100,267.63/273.69
  6. Step 6: Final answer
    x = 366.35

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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.