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Finding the Fourth Proportional to 145, 200.22 and 128.80

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Solution

The fourth proportional to 145, 200.22 and 128.80 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 200.22 = 128.80 : x
  2. Step 2: Convert to fraction form
    145/200.22 = 128.80/x
  3. Step 3: Cross multiply
    145x = 200.22 × 128.80
  4. Step 4: Simplify right side
    145x = 25,788.34
  5. Step 5: Solve for x
    x = 25,788.34/145
  6. Step 6: Final answer
    x = 177.85

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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.