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Finding the Fourth Proportional to 130.39, 194.80 and 115.34

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Solution

The fourth proportional to 130.39, 194.80 and 115.34 is: 172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.39 : 194.80 = 115.34 : x
  2. Step 2: Convert to fraction form
    130.39/194.80 = 115.34/x
  3. Step 3: Cross multiply
    130.39x = 194.80 × 115.34
  4. Step 4: Simplify right side
    130.39x = 22,466.97
  5. Step 5: Solve for x
    x = 22,466.97/130.39
  6. Step 6: Final answer
    x = 172.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.