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Finding the Fourth Proportional to 204.53, 282.25 and 117.20

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Solution

The fourth proportional to 204.53, 282.25 and 117.20 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 282.25 = 117.20 : x
  2. Step 2: Convert to fraction form
    204.53/282.25 = 117.20/x
  3. Step 3: Cross multiply
    204.53x = 282.25 × 117.20
  4. Step 4: Simplify right side
    204.53x = 33,079.70
  5. Step 5: Solve for x
    x = 33,079.70/204.53
  6. Step 6: Final answer
    x = 161.74

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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.