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Finding the Fourth Proportional to 531.88, 734.24 and 335.68

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Solution

The fourth proportional to 531.88, 734.24 and 335.68 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.88 : 734.24 = 335.68 : x
  2. Step 2: Convert to fraction form
    531.88/734.24 = 335.68/x
  3. Step 3: Cross multiply
    531.88x = 734.24 × 335.68
  4. Step 4: Simplify right side
    531.88x = 246,469.68
  5. Step 5: Solve for x
    x = 246,469.68/531.88
  6. Step 6: Final answer
    x = 463.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.