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Finding the Fourth Proportional to 302.68, 414.49 and 286.03

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Solution

The fourth proportional to 302.68, 414.49 and 286.03 is: 391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.68 : 414.49 = 286.03 : x
  2. Step 2: Convert to fraction form
    302.68/414.49 = 286.03/x
  3. Step 3: Cross multiply
    302.68x = 414.49 × 286.03
  4. Step 4: Simplify right side
    302.68x = 118,556.57
  5. Step 5: Solve for x
    x = 118,556.57/302.68
  6. Step 6: Final answer
    x = 391.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.