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Finding the Fourth Proportional to 130.83, 195.31 and 126.03

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Solution

The fourth proportional to 130.83, 195.31 and 126.03 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.83 : 195.31 = 126.03 : x
  2. Step 2: Convert to fraction form
    130.83/195.31 = 126.03/x
  3. Step 3: Cross multiply
    130.83x = 195.31 × 126.03
  4. Step 4: Simplify right side
    130.83x = 24,614.92
  5. Step 5: Solve for x
    x = 24,614.92/130.83
  6. Step 6: Final answer
    x = 188.14

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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.