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Finding the Fourth Proportional to 335.76, 504.45 and 214.26

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Solution

The fourth proportional to 335.76, 504.45 and 214.26 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 504.45 = 214.26 : x
  2. Step 2: Convert to fraction form
    335.76/504.45 = 214.26/x
  3. Step 3: Cross multiply
    335.76x = 504.45 × 214.26
  4. Step 4: Simplify right side
    335.76x = 108,083.46
  5. Step 5: Solve for x
    x = 108,083.46/335.76
  6. Step 6: Final answer
    x = 321.91

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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.