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Finding the Fourth Proportional to 424.35, 636.44 and 193.23

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Solution

The fourth proportional to 424.35, 636.44 and 193.23 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.35 : 636.44 = 193.23 : x
  2. Step 2: Convert to fraction form
    424.35/636.44 = 193.23/x
  3. Step 3: Cross multiply
    424.35x = 636.44 × 193.23
  4. Step 4: Simplify right side
    424.35x = 122,978.34
  5. Step 5: Solve for x
    x = 122,978.34/424.35
  6. Step 6: Final answer
    x = 289.80

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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.