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Finding the Fourth Proportional to 326.14, 486.39 and 277.69

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Solution

The fourth proportional to 326.14, 486.39 and 277.69 is: 414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 486.39 = 277.69 : x
  2. Step 2: Convert to fraction form
    326.14/486.39 = 277.69/x
  3. Step 3: Cross multiply
    326.14x = 486.39 × 277.69
  4. Step 4: Simplify right side
    326.14x = 135,065.64
  5. Step 5: Solve for x
    x = 135,065.64/326.14
  6. Step 6: Final answer
    x = 414.13

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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.