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Finding the Fourth Proportional to 668.58, 1,003.03 and 206.41

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Solution

The fourth proportional to 668.58, 1,003.03 and 206.41 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.58 : 1,003.03 = 206.41 : x
  2. Step 2: Convert to fraction form
    668.58/1,003.03 = 206.41/x
  3. Step 3: Cross multiply
    668.58x = 1,003.03 × 206.41
  4. Step 4: Simplify right side
    668.58x = 207,032.40
  5. Step 5: Solve for x
    x = 207,032.40/668.58
  6. Step 6: Final answer
    x = 309.66

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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.