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Finding the Fourth Proportional to 204.92, 282.75 and 117.57

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Solution

The fourth proportional to 204.92, 282.75 and 117.57 is: 162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 282.75 = 117.57 : x
  2. Step 2: Convert to fraction form
    204.92/282.75 = 117.57/x
  3. Step 3: Cross multiply
    204.92x = 282.75 × 117.57
  4. Step 4: Simplify right side
    204.92x = 33,242.92
  5. Step 5: Solve for x
    x = 33,242.92/204.92
  6. Step 6: Final answer
    x = 162.23

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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.