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Finding the Fourth Proportional to 278.51, 384.09 and 200.75

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Solution

The fourth proportional to 278.51, 384.09 and 200.75 is: 276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.51 : 384.09 = 200.75 : x
  2. Step 2: Convert to fraction form
    278.51/384.09 = 200.75/x
  3. Step 3: Cross multiply
    278.51x = 384.09 × 200.75
  4. Step 4: Simplify right side
    278.51x = 77,106.07
  5. Step 5: Solve for x
    x = 77,106.07/278.51
  6. Step 6: Final answer
    x = 276.85

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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.