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Finding the Fourth Proportional to 278.05, 383.71 and 215.96

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Solution

The fourth proportional to 278.05, 383.71 and 215.96 is: 298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.05 : 383.71 = 215.96 : x
  2. Step 2: Convert to fraction form
    278.05/383.71 = 215.96/x
  3. Step 3: Cross multiply
    278.05x = 383.71 × 215.96
  4. Step 4: Simplify right side
    278.05x = 82,866.01
  5. Step 5: Solve for x
    x = 82,866.01/278.05
  6. Step 6: Final answer
    x = 298.03

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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.