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Finding the Fourth Proportional to 461.67, 692.17 and 218.06

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Solution

The fourth proportional to 461.67, 692.17 and 218.06 is: 326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.67 : 692.17 = 218.06 : x
  2. Step 2: Convert to fraction form
    461.67/692.17 = 218.06/x
  3. Step 3: Cross multiply
    461.67x = 692.17 × 218.06
  4. Step 4: Simplify right side
    461.67x = 150,933.18
  5. Step 5: Solve for x
    x = 150,933.18/461.67
  6. Step 6: Final answer
    x = 326.93

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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.