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Finding the Fourth Proportional to 278.12, 383.42 and 190.64

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Solution

The fourth proportional to 278.12, 383.42 and 190.64 is: 262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 383.42 = 190.64 : x
  2. Step 2: Convert to fraction form
    278.12/383.42 = 190.64/x
  3. Step 3: Cross multiply
    278.12x = 383.42 × 190.64
  4. Step 4: Simplify right side
    278.12x = 73,092.32
  5. Step 5: Solve for x
    x = 73,092.32/278.12
  6. Step 6: Final answer
    x = 262.81

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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.