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Finding the Fourth Proportional to 128.36, 193.31 and 96.52

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Solution

The fourth proportional to 128.36, 193.31 and 96.52 is: 145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.36 : 193.31 = 96.52 : x
  2. Step 2: Convert to fraction form
    128.36/193.31 = 96.52/x
  3. Step 3: Cross multiply
    128.36x = 193.31 × 96.52
  4. Step 4: Simplify right side
    128.36x = 18,658.28
  5. Step 5: Solve for x
    x = 18,658.28/128.36
  6. Step 6: Final answer
    x = 145.36

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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.