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Finding the Fourth Proportional to 278.36, 383.45 and 236.78

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Solution

The fourth proportional to 278.36, 383.45 and 236.78 is: 326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 383.45 = 236.78 : x
  2. Step 2: Convert to fraction form
    278.36/383.45 = 236.78/x
  3. Step 3: Cross multiply
    278.36x = 383.45 × 236.78
  4. Step 4: Simplify right side
    278.36x = 90,793.29
  5. Step 5: Solve for x
    x = 90,793.29/278.36
  6. Step 6: Final answer
    x = 326.17

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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.