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Finding the Fourth Proportional to 130.28, 194.11 and 122

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Solution

The fourth proportional to 130.28, 194.11 and 122 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.28 : 194.11 = 122 : x
  2. Step 2: Convert to fraction form
    130.28/194.11 = 122/x
  3. Step 3: Cross multiply
    130.28x = 194.11 × 122
  4. Step 4: Simplify right side
    130.28x = 23,681.42
  5. Step 5: Solve for x
    x = 23,681.42/130.28
  6. Step 6: Final answer
    x = 181.77

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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.