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Finding the Fourth Proportional to 278.51, 415.37 and 269.40

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Solution

The fourth proportional to 278.51, 415.37 and 269.40 is: 401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.51 : 415.37 = 269.40 : x
  2. Step 2: Convert to fraction form
    278.51/415.37 = 269.40/x
  3. Step 3: Cross multiply
    278.51x = 415.37 × 269.40
  4. Step 4: Simplify right side
    278.51x = 111,900.68
  5. Step 5: Solve for x
    x = 111,900.68/278.51
  6. Step 6: Final answer
    x = 401.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.