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Finding the Fourth Proportional to 130.76, 194.96 and 111.32

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Solution

The fourth proportional to 130.76, 194.96 and 111.32 is: 165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.76 : 194.96 = 111.32 : x
  2. Step 2: Convert to fraction form
    130.76/194.96 = 111.32/x
  3. Step 3: Cross multiply
    130.76x = 194.96 × 111.32
  4. Step 4: Simplify right side
    130.76x = 21,702.95
  5. Step 5: Solve for x
    x = 21,702.95/130.76
  6. Step 6: Final answer
    x = 165.98

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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.