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Finding the Fourth Proportional to 278.21, 384.03 and 189.65

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Solution

The fourth proportional to 278.21, 384.03 and 189.65 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.21 : 384.03 = 189.65 : x
  2. Step 2: Convert to fraction form
    278.21/384.03 = 189.65/x
  3. Step 3: Cross multiply
    278.21x = 384.03 × 189.65
  4. Step 4: Simplify right side
    278.21x = 72,829.37
  5. Step 5: Solve for x
    x = 72,829.37/278.21
  6. Step 6: Final answer
    x = 261.78

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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.