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Finding the Fourth Proportional to 278.84, 384.65 and 196.02

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Solution

The fourth proportional to 278.84, 384.65 and 196.02 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 384.65 = 196.02 : x
  2. Step 2: Convert to fraction form
    278.84/384.65 = 196.02/x
  3. Step 3: Cross multiply
    278.84x = 384.65 × 196.02
  4. Step 4: Simplify right side
    278.84x = 75,398.85
  5. Step 5: Solve for x
    x = 75,398.85/278.84
  6. Step 6: Final answer
    x = 270.40

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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.