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Finding the Fourth Proportional to 131.20, 196.74 and 85.58

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Solution

The fourth proportional to 131.20, 196.74 and 85.58 is: 128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.20 : 196.74 = 85.58 : x
  2. Step 2: Convert to fraction form
    131.20/196.74 = 85.58/x
  3. Step 3: Cross multiply
    131.20x = 196.74 × 85.58
  4. Step 4: Simplify right side
    131.20x = 16,837.01
  5. Step 5: Solve for x
    x = 16,837.01/131.20
  6. Step 6: Final answer
    x = 128.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.