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Finding the Fourth Proportional to 461.45, 692.08 and 201.44

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Solution

The fourth proportional to 461.45, 692.08 and 201.44 is: 302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.45 : 692.08 = 201.44 : x
  2. Step 2: Convert to fraction form
    461.45/692.08 = 201.44/x
  3. Step 3: Cross multiply
    461.45x = 692.08 × 201.44
  4. Step 4: Simplify right side
    461.45x = 139,413.82
  5. Step 5: Solve for x
    x = 139,413.82/461.45
  6. Step 6: Final answer
    x = 302.12

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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.