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Finding the Fourth Proportional to 277.98, 383.28 and 190.50

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Solution

The fourth proportional to 277.98, 383.28 and 190.50 is: 262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 383.28 = 190.50 : x
  2. Step 2: Convert to fraction form
    277.98/383.28 = 190.50/x
  3. Step 3: Cross multiply
    277.98x = 383.28 × 190.50
  4. Step 4: Simplify right side
    277.98x = 73,014.84
  5. Step 5: Solve for x
    x = 73,014.84/277.98
  6. Step 6: Final answer
    x = 262.66

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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.