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Finding the Fourth Proportional to 735.37, 1,102.38 and 296.50

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Solution

The fourth proportional to 735.37, 1,102.38 and 296.50 is: 444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.37 : 1,102.38 = 296.50 : x
  2. Step 2: Convert to fraction form
    735.37/1,102.38 = 296.50/x
  3. Step 3: Cross multiply
    735.37x = 1,102.38 × 296.50
  4. Step 4: Simplify right side
    735.37x = 326,855.67
  5. Step 5: Solve for x
    x = 326,855.67/735.37
  6. Step 6: Final answer
    x = 444.48

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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.