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Finding the Fourth Proportional to 349.91, 525.60 and 213.02

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Solution

The fourth proportional to 349.91, 525.60 and 213.02 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.91 : 525.60 = 213.02 : x
  2. Step 2: Convert to fraction form
    349.91/525.60 = 213.02/x
  3. Step 3: Cross multiply
    349.91x = 525.60 × 213.02
  4. Step 4: Simplify right side
    349.91x = 111,960.68
  5. Step 5: Solve for x
    x = 111,960.68/349.91
  6. Step 6: Final answer
    x = 319.97

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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.