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Finding the Fourth Proportional to 278.15, 384.05 and 185.03

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Solution

The fourth proportional to 278.15, 384.05 and 185.03 is: 255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 384.05 = 185.03 : x
  2. Step 2: Convert to fraction form
    278.15/384.05 = 185.03/x
  3. Step 3: Cross multiply
    278.15x = 384.05 × 185.03
  4. Step 4: Simplify right side
    278.15x = 71,057.93
  5. Step 5: Solve for x
    x = 71,057.93/278.15
  6. Step 6: Final answer
    x = 255.47

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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.