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Finding the Fourth Proportional to 128.93, 194.04 and 116.35

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Solution

The fourth proportional to 128.93, 194.04 and 116.35 is: 175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.93 : 194.04 = 116.35 : x
  2. Step 2: Convert to fraction form
    128.93/194.04 = 116.35/x
  3. Step 3: Cross multiply
    128.93x = 194.04 × 116.35
  4. Step 4: Simplify right side
    128.93x = 22,576.55
  5. Step 5: Solve for x
    x = 22,576.55/128.93
  6. Step 6: Final answer
    x = 175.11

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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.