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Finding the Fourth Proportional to 278.19, 383.46 and 218.27

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Solution

The fourth proportional to 278.19, 383.46 and 218.27 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 383.46 = 218.27 : x
  2. Step 2: Convert to fraction form
    278.19/383.46 = 218.27/x
  3. Step 3: Cross multiply
    278.19x = 383.46 × 218.27
  4. Step 4: Simplify right side
    278.19x = 83,695.90
  5. Step 5: Solve for x
    x = 83,695.90/278.19
  6. Step 6: Final answer
    x = 300.86

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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.