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Finding the Fourth Proportional to 335.22, 501.99 and 213.13

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Solution

The fourth proportional to 335.22, 501.99 and 213.13 is: 319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.22 : 501.99 = 213.13 : x
  2. Step 2: Convert to fraction form
    335.22/501.99 = 213.13/x
  3. Step 3: Cross multiply
    335.22x = 501.99 × 213.13
  4. Step 4: Simplify right side
    335.22x = 106,989.13
  5. Step 5: Solve for x
    x = 106,989.13/335.22
  6. Step 6: Final answer
    x = 319.16

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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.