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Finding the Fourth Proportional to 204.66, 282.55 and 134.83

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Solution

The fourth proportional to 204.66, 282.55 and 134.83 is: 186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.66 : 282.55 = 134.83 : x
  2. Step 2: Convert to fraction form
    204.66/282.55 = 134.83/x
  3. Step 3: Cross multiply
    204.66x = 282.55 × 134.83
  4. Step 4: Simplify right side
    204.66x = 38,096.22
  5. Step 5: Solve for x
    x = 38,096.22/204.66
  6. Step 6: Final answer
    x = 186.14

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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.