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Finding the Fourth Proportional to 668.55, 1,002.65 and 199.93

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Solution

The fourth proportional to 668.55, 1,002.65 and 199.93 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.55 : 1,002.65 = 199.93 : x
  2. Step 2: Convert to fraction form
    668.55/1,002.65 = 199.93/x
  3. Step 3: Cross multiply
    668.55x = 1,002.65 × 199.93
  4. Step 4: Simplify right side
    668.55x = 200,453.80
  5. Step 5: Solve for x
    x = 200,453.80/668.55
  6. Step 6: Final answer
    x = 299.84

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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.