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Finding the Fourth Proportional to 278.86, 384.56 and 229.44

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Solution

The fourth proportional to 278.86, 384.56 and 229.44 is: 316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.86 : 384.56 = 229.44 : x
  2. Step 2: Convert to fraction form
    278.86/384.56 = 229.44/x
  3. Step 3: Cross multiply
    278.86x = 384.56 × 229.44
  4. Step 4: Simplify right side
    278.86x = 88,233.45
  5. Step 5: Solve for x
    x = 88,233.45/278.86
  6. Step 6: Final answer
    x = 316.41

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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.