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Finding the Fourth Proportional to 363.84, 501.84 and 286.08

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Solution

The fourth proportional to 363.84, 501.84 and 286.08 is: 394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.84 : 501.84 = 286.08 : x
  2. Step 2: Convert to fraction form
    363.84/501.84 = 286.08/x
  3. Step 3: Cross multiply
    363.84x = 501.84 × 286.08
  4. Step 4: Simplify right side
    363.84x = 143,566.39
  5. Step 5: Solve for x
    x = 143,566.39/363.84
  6. Step 6: Final answer
    x = 394.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.