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Finding the Fourth Proportional to 131.86, 180.38 and 131.32

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Solution

The fourth proportional to 131.86, 180.38 and 131.32 is: 179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.86 : 180.38 = 131.32 : x
  2. Step 2: Convert to fraction form
    131.86/180.38 = 131.32/x
  3. Step 3: Cross multiply
    131.86x = 180.38 × 131.32
  4. Step 4: Simplify right side
    131.86x = 23,687.50
  5. Step 5: Solve for x
    x = 23,687.50/131.86
  6. Step 6: Final answer
    x = 179.64

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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.