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Finding the Fourth Proportional to 278.21, 384 and 190.91

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Solution

The fourth proportional to 278.21, 384 and 190.91 is: 263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.21 : 384 = 190.91 : x
  2. Step 2: Convert to fraction form
    278.21/384 = 190.91/x
  3. Step 3: Cross multiply
    278.21x = 384 × 190.91
  4. Step 4: Simplify right side
    278.21x = 73,309.44
  5. Step 5: Solve for x
    x = 73,309.44/278.21
  6. Step 6: Final answer
    x = 263.50

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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.