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Finding the Fourth Proportional to 499.61, 749.42 and 218.15

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Solution

The fourth proportional to 499.61, 749.42 and 218.15 is: 327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.61 : 749.42 = 218.15 : x
  2. Step 2: Convert to fraction form
    499.61/749.42 = 218.15/x
  3. Step 3: Cross multiply
    499.61x = 749.42 × 218.15
  4. Step 4: Simplify right side
    499.61x = 163,485.97
  5. Step 5: Solve for x
    x = 163,485.97/499.61
  6. Step 6: Final answer
    x = 327.23

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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.