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Finding the Fourth Proportional to 461.90, 692.17 and 201.66

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Solution

The fourth proportional to 461.90, 692.17 and 201.66 is: 302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 692.17 = 201.66 : x
  2. Step 2: Convert to fraction form
    461.90/692.17 = 201.66/x
  3. Step 3: Cross multiply
    461.90x = 692.17 × 201.66
  4. Step 4: Simplify right side
    461.90x = 139,583.72
  5. Step 5: Solve for x
    x = 139,583.72/461.90
  6. Step 6: Final answer
    x = 302.19

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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.