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Finding the Fourth Proportional to 278.84, 384.36 and 212.49

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Solution

The fourth proportional to 278.84, 384.36 and 212.49 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 384.36 = 212.49 : x
  2. Step 2: Convert to fraction form
    278.84/384.36 = 212.49/x
  3. Step 3: Cross multiply
    278.84x = 384.36 × 212.49
  4. Step 4: Simplify right side
    278.84x = 81,672.66
  5. Step 5: Solve for x
    x = 81,672.66/278.84
  6. Step 6: Final answer
    x = 292.91

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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.