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Finding the Fourth Proportional to 130.76, 194.77 and 111.08

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Solution

The fourth proportional to 130.76, 194.77 and 111.08 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.76 : 194.77 = 111.08 : x
  2. Step 2: Convert to fraction form
    130.76/194.77 = 111.08/x
  3. Step 3: Cross multiply
    130.76x = 194.77 × 111.08
  4. Step 4: Simplify right side
    130.76x = 21,635.05
  5. Step 5: Solve for x
    x = 21,635.05/130.76
  6. Step 6: Final answer
    x = 165.46

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Why These Related Problems?

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