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Finding the Fourth Proportional to 278.64, 383.94 and 268.38

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Solution

The fourth proportional to 278.64, 383.94 and 268.38 is: 369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 383.94 = 268.38 : x
  2. Step 2: Convert to fraction form
    278.64/383.94 = 268.38/x
  3. Step 3: Cross multiply
    278.64x = 383.94 × 268.38
  4. Step 4: Simplify right side
    278.64x = 103,041.82
  5. Step 5: Solve for x
    x = 103,041.82/278.64
  6. Step 6: Final answer
    x = 369.80

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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.