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Finding the Fourth Proportional to 131.90, 182.03 and 80.15

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Solution

The fourth proportional to 131.90, 182.03 and 80.15 is: 110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.90 : 182.03 = 80.15 : x
  2. Step 2: Convert to fraction form
    131.90/182.03 = 80.15/x
  3. Step 3: Cross multiply
    131.90x = 182.03 × 80.15
  4. Step 4: Simplify right side
    131.90x = 14,588.39
  5. Step 5: Solve for x
    x = 14,588.39/131.90
  6. Step 6: Final answer
    x = 110.61

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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.