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Finding the Fourth Proportional to 353.35, 488.31 and 286.84

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Solution

The fourth proportional to 353.35, 488.31 and 286.84 is: 396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.35 : 488.31 = 286.84 : x
  2. Step 2: Convert to fraction form
    353.35/488.31 = 286.84/x
  3. Step 3: Cross multiply
    353.35x = 488.31 × 286.84
  4. Step 4: Simplify right side
    353.35x = 140,066.84
  5. Step 5: Solve for x
    x = 140,066.84/353.35
  6. Step 6: Final answer
    x = 396.40

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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.