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Finding the Fourth Proportional to 350.22, 524.28 and 212.84

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Solution

The fourth proportional to 350.22, 524.28 and 212.84 is: 318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.22 : 524.28 = 212.84 : x
  2. Step 2: Convert to fraction form
    350.22/524.28 = 212.84/x
  3. Step 3: Cross multiply
    350.22x = 524.28 × 212.84
  4. Step 4: Simplify right side
    350.22x = 111,585.13
  5. Step 5: Solve for x
    x = 111,585.13/350.22
  6. Step 6: Final answer
    x = 318.61

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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.