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Finding the Fourth Proportional to 204.42, 282.06 and 117.07

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Solution

The fourth proportional to 204.42, 282.06 and 117.07 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.42 : 282.06 = 117.07 : x
  2. Step 2: Convert to fraction form
    204.42/282.06 = 117.07/x
  3. Step 3: Cross multiply
    204.42x = 282.06 × 117.07
  4. Step 4: Simplify right side
    204.42x = 33,020.76
  5. Step 5: Solve for x
    x = 33,020.76/204.42
  6. Step 6: Final answer
    x = 161.53

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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.