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Finding the Fourth Proportional to 278.11, 383.66 and 173.21

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Solution

The fourth proportional to 278.11, 383.66 and 173.21 is: 238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.11 : 383.66 = 173.21 : x
  2. Step 2: Convert to fraction form
    278.11/383.66 = 173.21/x
  3. Step 3: Cross multiply
    278.11x = 383.66 × 173.21
  4. Step 4: Simplify right side
    278.11x = 66,453.84
  5. Step 5: Solve for x
    x = 66,453.84/278.11
  6. Step 6: Final answer
    x = 238.95

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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.