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Finding the Fourth Proportional to 531.31, 796.75 and 161.03

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Solution

The fourth proportional to 531.31, 796.75 and 161.03 is: 241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.31 : 796.75 = 161.03 : x
  2. Step 2: Convert to fraction form
    531.31/796.75 = 161.03/x
  3. Step 3: Cross multiply
    531.31x = 796.75 × 161.03
  4. Step 4: Simplify right side
    531.31x = 128,300.65
  5. Step 5: Solve for x
    x = 128,300.65/531.31
  6. Step 6: Final answer
    x = 241.48

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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.