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Finding the Fourth Proportional to 350.53, 481.55 and 288.16

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Solution

The fourth proportional to 350.53, 481.55 and 288.16 is: 395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.53 : 481.55 = 288.16 : x
  2. Step 2: Convert to fraction form
    350.53/481.55 = 288.16/x
  3. Step 3: Cross multiply
    350.53x = 481.55 × 288.16
  4. Step 4: Simplify right side
    350.53x = 138,763.45
  5. Step 5: Solve for x
    x = 138,763.45/350.53
  6. Step 6: Final answer
    x = 395.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.