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Finding the Fourth Proportional to 204.67, 282.43 and 116.15

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Solution

The fourth proportional to 204.67, 282.43 and 116.15 is: 160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.67 : 282.43 = 116.15 : x
  2. Step 2: Convert to fraction form
    204.67/282.43 = 116.15/x
  3. Step 3: Cross multiply
    204.67x = 282.43 × 116.15
  4. Step 4: Simplify right side
    204.67x = 32,802.98
  5. Step 5: Solve for x
    x = 32,802.98/204.67
  6. Step 6: Final answer
    x = 160.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.