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Finding the Fourth Proportional to 128.16, 193 and 109.32

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Solution

The fourth proportional to 128.16, 193 and 109.32 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 193 = 109.32 : x
  2. Step 2: Convert to fraction form
    128.16/193 = 109.32/x
  3. Step 3: Cross multiply
    128.16x = 193 × 109.32
  4. Step 4: Simplify right side
    128.16x = 21,098.76
  5. Step 5: Solve for x
    x = 21,098.76/128.16
  6. Step 6: Final answer
    x = 164.63

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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.