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Finding the Fourth Proportional to 278.16, 383.64 and 222.48

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Solution

The fourth proportional to 278.16, 383.64 and 222.48 is: 306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 383.64 = 222.48 : x
  2. Step 2: Convert to fraction form
    278.16/383.64 = 222.48/x
  3. Step 3: Cross multiply
    278.16x = 383.64 × 222.48
  4. Step 4: Simplify right side
    278.16x = 85,352.23
  5. Step 5: Solve for x
    x = 85,352.23/278.16
  6. Step 6: Final answer
    x = 306.85

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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.