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Finding the Fourth Proportional to 302.85, 419.85 and 286.43

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Solution

The fourth proportional to 302.85, 419.85 and 286.43 is: 397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 419.85 = 286.43 : x
  2. Step 2: Convert to fraction form
    302.85/419.85 = 286.43/x
  3. Step 3: Cross multiply
    302.85x = 419.85 × 286.43
  4. Step 4: Simplify right side
    302.85x = 120,255.54
  5. Step 5: Solve for x
    x = 120,255.54/302.85
  6. Step 6: Final answer
    x = 397.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.