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Finding the Fourth Proportional to 665.51, 998.43 and 203.29

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Solution

The fourth proportional to 665.51, 998.43 and 203.29 is: 304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.51 : 998.43 = 203.29 : x
  2. Step 2: Convert to fraction form
    665.51/998.43 = 203.29/x
  3. Step 3: Cross multiply
    665.51x = 998.43 × 203.29
  4. Step 4: Simplify right side
    665.51x = 202,971.53
  5. Step 5: Solve for x
    x = 202,971.53/665.51
  6. Step 6: Final answer
    x = 304.98

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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.