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Finding the Fourth Proportional to 277.76, 383.39 and 190.41

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Solution

The fourth proportional to 277.76, 383.39 and 190.41 is: 262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 383.39 = 190.41 : x
  2. Step 2: Convert to fraction form
    277.76/383.39 = 190.41/x
  3. Step 3: Cross multiply
    277.76x = 383.39 × 190.41
  4. Step 4: Simplify right side
    277.76x = 73,000.34
  5. Step 5: Solve for x
    x = 73,000.34/277.76
  6. Step 6: Final answer
    x = 262.82

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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.