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Finding the Fourth Proportional to 357.38, 535.63 and 203.44

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Solution

The fourth proportional to 357.38, 535.63 and 203.44 is: 304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.38 : 535.63 = 203.44 : x
  2. Step 2: Convert to fraction form
    357.38/535.63 = 203.44/x
  3. Step 3: Cross multiply
    357.38x = 535.63 × 203.44
  4. Step 4: Simplify right side
    357.38x = 108,968.57
  5. Step 5: Solve for x
    x = 108,968.57/357.38
  6. Step 6: Final answer
    x = 304.91

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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.