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Finding the Fourth Proportional to 130.44, 194.64 and 121.64

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Solution

The fourth proportional to 130.44, 194.64 and 121.64 is: 181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.44 : 194.64 = 121.64 : x
  2. Step 2: Convert to fraction form
    130.44/194.64 = 121.64/x
  3. Step 3: Cross multiply
    130.44x = 194.64 × 121.64
  4. Step 4: Simplify right side
    130.44x = 23,674.58
  5. Step 5: Solve for x
    x = 23,674.58/130.44
  6. Step 6: Final answer
    x = 181.49

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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.