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Finding the Fourth Proportional to 204.70, 282.48 and 116.19

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Solution

The fourth proportional to 204.70, 282.48 and 116.19 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.70 : 282.48 = 116.19 : x
  2. Step 2: Convert to fraction form
    204.70/282.48 = 116.19/x
  3. Step 3: Cross multiply
    204.70x = 282.48 × 116.19
  4. Step 4: Simplify right side
    204.70x = 32,821.35
  5. Step 5: Solve for x
    x = 32,821.35/204.70
  6. Step 6: Final answer
    x = 160.34

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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.