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Finding the Fourth Proportional to 204.40, 282 and 128.68

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Solution

The fourth proportional to 204.40, 282 and 128.68 is: 177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 282 = 128.68 : x
  2. Step 2: Convert to fraction form
    204.40/282 = 128.68/x
  3. Step 3: Cross multiply
    204.40x = 282 × 128.68
  4. Step 4: Simplify right side
    204.40x = 36,287.76
  5. Step 5: Solve for x
    x = 36,287.76/204.40
  6. Step 6: Final answer
    x = 177.53

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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.