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Finding the Fourth Proportional to 731.21, 1,096.75 and 183.39

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Solution

The fourth proportional to 731.21, 1,096.75 and 183.39 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.21 : 1,096.75 = 183.39 : x
  2. Step 2: Convert to fraction form
    731.21/1,096.75 = 183.39/x
  3. Step 3: Cross multiply
    731.21x = 1,096.75 × 183.39
  4. Step 4: Simplify right side
    731.21x = 201,133.21
  5. Step 5: Solve for x
    x = 201,133.21/731.21
  6. Step 6: Final answer
    x = 275.07

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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.