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Finding the Fourth Proportional to 350.21, 524.70 and 213.19

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Solution

The fourth proportional to 350.21, 524.70 and 213.19 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.21 : 524.70 = 213.19 : x
  2. Step 2: Convert to fraction form
    350.21/524.70 = 213.19/x
  3. Step 3: Cross multiply
    350.21x = 524.70 × 213.19
  4. Step 4: Simplify right side
    350.21x = 111,859.34
  5. Step 5: Solve for x
    x = 111,859.34/350.21
  6. Step 6: Final answer
    x = 319.40

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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.