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Finding the Fourth Proportional to 353.69, 530.51 and 161.31

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Solution

The fourth proportional to 353.69, 530.51 and 161.31 is: 241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.69 : 530.51 = 161.31 : x
  2. Step 2: Convert to fraction form
    353.69/530.51 = 161.31/x
  3. Step 3: Cross multiply
    353.69x = 530.51 × 161.31
  4. Step 4: Simplify right side
    353.69x = 85,576.57
  5. Step 5: Solve for x
    x = 85,576.57/353.69
  6. Step 6: Final answer
    x = 241.96

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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.