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Finding the Fourth Proportional to 350.12, 483.20 and 202.75

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Solution

The fourth proportional to 350.12, 483.20 and 202.75 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.12 : 483.20 = 202.75 : x
  2. Step 2: Convert to fraction form
    350.12/483.20 = 202.75/x
  3. Step 3: Cross multiply
    350.12x = 483.20 × 202.75
  4. Step 4: Simplify right side
    350.12x = 97,965.37
  5. Step 5: Solve for x
    x = 97,965.37/350.12
  6. Step 6: Final answer
    x = 279.81

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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.