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Finding the Fourth Proportional to 130.28, 194.90 and 84.47

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Solution

The fourth proportional to 130.28, 194.90 and 84.47 is: 126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.28 : 194.90 = 84.47 : x
  2. Step 2: Convert to fraction form
    130.28/194.90 = 84.47/x
  3. Step 3: Cross multiply
    130.28x = 194.90 × 84.47
  4. Step 4: Simplify right side
    130.28x = 16,461.81
  5. Step 5: Solve for x
    x = 16,461.81/130.28
  6. Step 6: Final answer
    x = 126.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.