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Finding the Fourth Proportional to 462.25, 692.92 and 218.34

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Solution

The fourth proportional to 462.25, 692.92 and 218.34 is: 327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 692.92 = 218.34 : x
  2. Step 2: Convert to fraction form
    462.25/692.92 = 218.34/x
  3. Step 3: Cross multiply
    462.25x = 692.92 × 218.34
  4. Step 4: Simplify right side
    462.25x = 151,292.15
  5. Step 5: Solve for x
    x = 151,292.15/462.25
  6. Step 6: Final answer
    x = 327.30

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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.