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Finding the Fourth Proportional to 131.59, 180.85 and 102.43

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Solution

The fourth proportional to 131.59, 180.85 and 102.43 is: 140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.59 : 180.85 = 102.43 : x
  2. Step 2: Convert to fraction form
    131.59/180.85 = 102.43/x
  3. Step 3: Cross multiply
    131.59x = 180.85 × 102.43
  4. Step 4: Simplify right side
    131.59x = 18,523.05
  5. Step 5: Solve for x
    x = 18,523.05/131.59
  6. Step 6: Final answer
    x = 140.77

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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.