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Finding the Fourth Proportional to 660.33, 990.66 and 331.41

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Solution

The fourth proportional to 660.33, 990.66 and 331.41 is: 497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.33 : 990.66 = 331.41 : x
  2. Step 2: Convert to fraction form
    660.33/990.66 = 331.41/x
  3. Step 3: Cross multiply
    660.33x = 990.66 × 331.41
  4. Step 4: Simplify right side
    660.33x = 328,314.63
  5. Step 5: Solve for x
    x = 328,314.63/660.33
  6. Step 6: Final answer
    x = 497.20

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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.