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Finding the Fourth Proportional to 278.90, 384.48 and 200.19

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Solution

The fourth proportional to 278.90, 384.48 and 200.19 is: 275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.90 : 384.48 = 200.19 : x
  2. Step 2: Convert to fraction form
    278.90/384.48 = 200.19/x
  3. Step 3: Cross multiply
    278.90x = 384.48 × 200.19
  4. Step 4: Simplify right side
    278.90x = 76,969.05
  5. Step 5: Solve for x
    x = 76,969.05/278.90
  6. Step 6: Final answer
    x = 275.98

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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.