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Finding the Fourth Proportional to 278.19, 383.94 and 212.58

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Solution

The fourth proportional to 278.19, 383.94 and 212.58 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 383.94 = 212.58 : x
  2. Step 2: Convert to fraction form
    278.19/383.94 = 212.58/x
  3. Step 3: Cross multiply
    278.19x = 383.94 × 212.58
  4. Step 4: Simplify right side
    278.19x = 81,617.97
  5. Step 5: Solve for x
    x = 81,617.97/278.19
  6. Step 6: Final answer
    x = 293.39

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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.