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Finding the Fourth Proportional to 357.25, 534.67 and 220.39

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Solution

The fourth proportional to 357.25, 534.67 and 220.39 is: 329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.25 : 534.67 = 220.39 : x
  2. Step 2: Convert to fraction form
    357.25/534.67 = 220.39/x
  3. Step 3: Cross multiply
    357.25x = 534.67 × 220.39
  4. Step 4: Simplify right side
    357.25x = 117,835.92
  5. Step 5: Solve for x
    x = 117,835.92/357.25
  6. Step 6: Final answer
    x = 329.84

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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.