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Finding the Fourth Proportional to 350.30, 483.41 and 202.95

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Solution

The fourth proportional to 350.30, 483.41 and 202.95 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.30 : 483.41 = 202.95 : x
  2. Step 2: Convert to fraction form
    350.30/483.41 = 202.95/x
  3. Step 3: Cross multiply
    350.30x = 483.41 × 202.95
  4. Step 4: Simplify right side
    350.30x = 98,108.57
  5. Step 5: Solve for x
    x = 98,108.57/350.30
  6. Step 6: Final answer
    x = 280.07

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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.