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Finding the Fourth Proportional to 424.21, 636.24 and 193.04

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Solution

The fourth proportional to 424.21, 636.24 and 193.04 is: 289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.21 : 636.24 = 193.04 : x
  2. Step 2: Convert to fraction form
    424.21/636.24 = 193.04/x
  3. Step 3: Cross multiply
    424.21x = 636.24 × 193.04
  4. Step 4: Simplify right side
    424.21x = 122,818.80
  5. Step 5: Solve for x
    x = 122,818.80/424.21
  6. Step 6: Final answer
    x = 289.52

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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.