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Finding the Fourth Proportional to 343.49, 514.64 and 286.08

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Solution

The fourth proportional to 343.49, 514.64 and 286.08 is: 428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.49 : 514.64 = 286.08 : x
  2. Step 2: Convert to fraction form
    343.49/514.64 = 286.08/x
  3. Step 3: Cross multiply
    343.49x = 514.64 × 286.08
  4. Step 4: Simplify right side
    343.49x = 147,229.78
  5. Step 5: Solve for x
    x = 147,229.78/343.49
  6. Step 6: Final answer
    x = 428.63

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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.