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Finding the Fourth Proportional to 128.90, 194.25 and 116.08

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Solution

The fourth proportional to 128.90, 194.25 and 116.08 is: 174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.90 : 194.25 = 116.08 : x
  2. Step 2: Convert to fraction form
    128.90/194.25 = 116.08/x
  3. Step 3: Cross multiply
    128.90x = 194.25 × 116.08
  4. Step 4: Simplify right side
    128.90x = 22,547.57
  5. Step 5: Solve for x
    x = 22,547.57/128.90
  6. Step 6: Final answer
    x = 174.92

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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.