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Finding the Fourth Proportional to 278.18, 383.14 and 236.48

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Solution

The fourth proportional to 278.18, 383.14 and 236.48 is: 325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.18 : 383.14 = 236.48 : x
  2. Step 2: Convert to fraction form
    278.18/383.14 = 236.48/x
  3. Step 3: Cross multiply
    278.18x = 383.14 × 236.48
  4. Step 4: Simplify right side
    278.18x = 90,604.95
  5. Step 5: Solve for x
    x = 90,604.95/278.18
  6. Step 6: Final answer
    x = 325.71

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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.