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Finding the Fourth Proportional to 131.57, 195.85 and 130.88

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Solution

The fourth proportional to 131.57, 195.85 and 130.88 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.57 : 195.85 = 130.88 : x
  2. Step 2: Convert to fraction form
    131.57/195.85 = 130.88/x
  3. Step 3: Cross multiply
    131.57x = 195.85 × 130.88
  4. Step 4: Simplify right side
    131.57x = 25,632.85
  5. Step 5: Solve for x
    x = 25,632.85/131.57
  6. Step 6: Final answer
    x = 194.82

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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.