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Finding the Fourth Proportional to 491.67, 737 and 183.33

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Solution

The fourth proportional to 491.67, 737 and 183.33 is: 274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 737 = 183.33 : x
  2. Step 2: Convert to fraction form
    491.67/737 = 183.33/x
  3. Step 3: Cross multiply
    491.67x = 737 × 183.33
  4. Step 4: Simplify right side
    491.67x = 135,114.21
  5. Step 5: Solve for x
    x = 135,114.21/491.67
  6. Step 6: Final answer
    x = 274.81

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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.