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Finding the Fourth Proportional to 278.54, 384.38 and 173.61

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Solution

The fourth proportional to 278.54, 384.38 and 173.61 is: 239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 384.38 = 173.61 : x
  2. Step 2: Convert to fraction form
    278.54/384.38 = 173.61/x
  3. Step 3: Cross multiply
    278.54x = 384.38 × 173.61
  4. Step 4: Simplify right side
    278.54x = 66,732.21
  5. Step 5: Solve for x
    x = 66,732.21/278.54
  6. Step 6: Final answer
    x = 239.58

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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.