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Finding the Fourth Proportional to 144.71, 200.12 and 128.33

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Solution

The fourth proportional to 144.71, 200.12 and 128.33 is: 177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.71 : 200.12 = 128.33 : x
  2. Step 2: Convert to fraction form
    144.71/200.12 = 128.33/x
  3. Step 3: Cross multiply
    144.71x = 200.12 × 128.33
  4. Step 4: Simplify right side
    144.71x = 25,679.76
  5. Step 5: Solve for x
    x = 25,679.76/144.71
  6. Step 6: Final answer
    x = 177.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.