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Finding the Fourth Proportional to 461.75, 692.64 and 218.10

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Solution

The fourth proportional to 461.75, 692.64 and 218.10 is: 327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 692.64 = 218.10 : x
  2. Step 2: Convert to fraction form
    461.75/692.64 = 218.10/x
  3. Step 3: Cross multiply
    461.75x = 692.64 × 218.10
  4. Step 4: Simplify right side
    461.75x = 151,064.78
  5. Step 5: Solve for x
    x = 151,064.78/461.75
  6. Step 6: Final answer
    x = 327.16

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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.