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Finding the Fourth Proportional to 343.62, 514.83 and 286.21

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Solution

The fourth proportional to 343.62, 514.83 and 286.21 is: 428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.62 : 514.83 = 286.21 : x
  2. Step 2: Convert to fraction form
    343.62/514.83 = 286.21/x
  3. Step 3: Cross multiply
    343.62x = 514.83 × 286.21
  4. Step 4: Simplify right side
    343.62x = 147,347.78
  5. Step 5: Solve for x
    x = 147,347.78/343.62
  6. Step 6: Final answer
    x = 428.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.