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Finding the Fourth Proportional to 665.86, 998.91 and 203.62

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Solution

The fourth proportional to 665.86, 998.91 and 203.62 is: 305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 998.91 = 203.62 : x
  2. Step 2: Convert to fraction form
    665.86/998.91 = 203.62/x
  3. Step 3: Cross multiply
    665.86x = 998.91 × 203.62
  4. Step 4: Simplify right side
    665.86x = 203,398.05
  5. Step 5: Solve for x
    x = 203,398.05/665.86
  6. Step 6: Final answer
    x = 305.47

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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.