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Finding the Fourth Proportional to 665.33, 998.45 and 232.49

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Solution

The fourth proportional to 665.33, 998.45 and 232.49 is: 348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.33 : 998.45 = 232.49 : x
  2. Step 2: Convert to fraction form
    665.33/998.45 = 232.49/x
  3. Step 3: Cross multiply
    665.33x = 998.45 × 232.49
  4. Step 4: Simplify right side
    665.33x = 232,124.94
  5. Step 5: Solve for x
    x = 232,124.94/665.33
  6. Step 6: Final answer
    x = 348.89

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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.