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Finding the Fourth Proportional to 131.70, 180.51 and 130.80

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Solution

The fourth proportional to 131.70, 180.51 and 130.80 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 180.51 = 130.80 : x
  2. Step 2: Convert to fraction form
    131.70/180.51 = 130.80/x
  3. Step 3: Cross multiply
    131.70x = 180.51 × 130.80
  4. Step 4: Simplify right side
    131.70x = 23,610.71
  5. Step 5: Solve for x
    x = 23,610.71/131.70
  6. Step 6: Final answer
    x = 179.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.