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Finding the Fourth Proportional to 278.60, 384.60 and 199.92

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Solution

The fourth proportional to 278.60, 384.60 and 199.92 is: 275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.60 : 384.60 = 199.92 : x
  2. Step 2: Convert to fraction form
    278.60/384.60 = 199.92/x
  3. Step 3: Cross multiply
    278.60x = 384.60 × 199.92
  4. Step 4: Simplify right side
    278.60x = 76,889.23
  5. Step 5: Solve for x
    x = 76,889.23/278.60
  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.