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Finding the Fourth Proportional to 491.99, 737.48 and 218.28

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Solution

The fourth proportional to 491.99, 737.48 and 218.28 is: 327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.99 : 737.48 = 218.28 : x
  2. Step 2: Convert to fraction form
    491.99/737.48 = 218.28/x
  3. Step 3: Cross multiply
    491.99x = 737.48 × 218.28
  4. Step 4: Simplify right side
    491.99x = 160,977.68
  5. Step 5: Solve for x
    x = 160,977.68/491.99
  6. Step 6: Final answer
    x = 327.20

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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.