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Finding the Fourth Proportional to 735.05, 1,102.38 and 248

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Solution

The fourth proportional to 735.05, 1,102.38 and 248 is: 371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.05 : 1,102.38 = 248 : x
  2. Step 2: Convert to fraction form
    735.05/1,102.38 = 248/x
  3. Step 3: Cross multiply
    735.05x = 1,102.38 × 248
  4. Step 4: Simplify right side
    735.05x = 273,390.24
  5. Step 5: Solve for x
    x = 273,390.24/735.05
  6. Step 6: Final answer
    x = 371.93

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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.