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Finding the Fourth Proportional to 128.40, 177.26 and 97.36

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Solution

The fourth proportional to 128.40, 177.26 and 97.36 is: 134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.40 : 177.26 = 97.36 : x
  2. Step 2: Convert to fraction form
    128.40/177.26 = 97.36/x
  3. Step 3: Cross multiply
    128.40x = 177.26 × 97.36
  4. Step 4: Simplify right side
    128.40x = 17,258.03
  5. Step 5: Solve for x
    x = 17,258.03/128.40
  6. Step 6: Final answer
    x = 134.41

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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.