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Finding the Fourth Proportional to 278.28, 384.10 and 195.40

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Solution

The fourth proportional to 278.28, 384.10 and 195.40 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 384.10 = 195.40 : x
  2. Step 2: Convert to fraction form
    278.28/384.10 = 195.40/x
  3. Step 3: Cross multiply
    278.28x = 384.10 × 195.40
  4. Step 4: Simplify right side
    278.28x = 75,053.14
  5. Step 5: Solve for x
    x = 75,053.14/278.28
  6. Step 6: Final answer
    x = 269.70

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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.