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Finding the Fourth Proportional to 130.98, 197.43 and 122.62

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Solution

The fourth proportional to 130.98, 197.43 and 122.62 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 197.43 = 122.62 : x
  2. Step 2: Convert to fraction form
    130.98/197.43 = 122.62/x
  3. Step 3: Cross multiply
    130.98x = 197.43 × 122.62
  4. Step 4: Simplify right side
    130.98x = 24,208.87
  5. Step 5: Solve for x
    x = 24,208.87/130.98
  6. Step 6: Final answer
    x = 184.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.