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Finding the Fourth Proportional to 278.56, 383.94 and 212.92

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Solution

The fourth proportional to 278.56, 383.94 and 212.92 is: 293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 383.94 = 212.92 : x
  2. Step 2: Convert to fraction form
    278.56/383.94 = 212.92/x
  3. Step 3: Cross multiply
    278.56x = 383.94 × 212.92
  4. Step 4: Simplify right side
    278.56x = 81,748.50
  5. Step 5: Solve for x
    x = 81,748.50/278.56
  6. Step 6: Final answer
    x = 293.47

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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.