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Finding the Fourth Proportional to 278.22, 381.64 and 262.46

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Solution

The fourth proportional to 278.22, 381.64 and 262.46 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 381.64 = 262.46 : x
  2. Step 2: Convert to fraction form
    278.22/381.64 = 262.46/x
  3. Step 3: Cross multiply
    278.22x = 381.64 × 262.46
  4. Step 4: Simplify right side
    278.22x = 100,165.23
  5. Step 5: Solve for x
    x = 100,165.23/278.22
  6. Step 6: Final answer
    x = 360.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.