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Finding the Fourth Proportional to 130.12, 194.87 and 102.98

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Solution

The fourth proportional to 130.12, 194.87 and 102.98 is: 154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.12 : 194.87 = 102.98 : x
  2. Step 2: Convert to fraction form
    130.12/194.87 = 102.98/x
  3. Step 3: Cross multiply
    130.12x = 194.87 × 102.98
  4. Step 4: Simplify right side
    130.12x = 20,067.71
  5. Step 5: Solve for x
    x = 20,067.71/130.12
  6. Step 6: Final answer
    x = 154.22

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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.