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Finding the Fourth Proportional to 461.89, 692.31 and 230.97

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Solution

The fourth proportional to 461.89, 692.31 and 230.97 is: 346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 692.31 = 230.97 : x
  2. Step 2: Convert to fraction form
    461.89/692.31 = 230.97/x
  3. Step 3: Cross multiply
    461.89x = 692.31 × 230.97
  4. Step 4: Simplify right side
    461.89x = 159,902.41
  5. Step 5: Solve for x
    x = 159,902.41/461.89
  6. Step 6: Final answer
    x = 346.19

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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.