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Finding the Fourth Proportional to 350.08, 525.25 and 144.66

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Solution

The fourth proportional to 350.08, 525.25 and 144.66 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.08 : 525.25 = 144.66 : x
  2. Step 2: Convert to fraction form
    350.08/525.25 = 144.66/x
  3. Step 3: Cross multiply
    350.08x = 525.25 × 144.66
  4. Step 4: Simplify right side
    350.08x = 75,984.09
  5. Step 5: Solve for x
    x = 75,984.09/350.08
  6. Step 6: Final answer
    x = 217.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.