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Finding the Fourth Proportional to 133.74, 201.51 and 128.70

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Solution

The fourth proportional to 133.74, 201.51 and 128.70 is: 193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.74 : 201.51 = 128.70 : x
  2. Step 2: Convert to fraction form
    133.74/201.51 = 128.70/x
  3. Step 3: Cross multiply
    133.74x = 201.51 × 128.70
  4. Step 4: Simplify right side
    133.74x = 25,934.34
  5. Step 5: Solve for x
    x = 25,934.34/133.74
  6. Step 6: Final answer
    x = 193.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.