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Finding the Fourth Proportional to 130.26, 179.72 and 95.27

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Solution

The fourth proportional to 130.26, 179.72 and 95.27 is: 131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.26 : 179.72 = 95.27 : x
  2. Step 2: Convert to fraction form
    130.26/179.72 = 95.27/x
  3. Step 3: Cross multiply
    130.26x = 179.72 × 95.27
  4. Step 4: Simplify right side
    130.26x = 17,120.55
  5. Step 5: Solve for x
    x = 17,120.55/130.26
  6. Step 6: Final answer
    x = 131.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.