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Finding the Fourth Proportional to 135.18, 185.18 and 131.34

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Solution

The fourth proportional to 135.18, 185.18 and 131.34 is: 179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.18 : 185.18 = 131.34 : x
  2. Step 2: Convert to fraction form
    135.18/185.18 = 131.34/x
  3. Step 3: Cross multiply
    135.18x = 185.18 × 131.34
  4. Step 4: Simplify right side
    135.18x = 24,320.88
  5. Step 5: Solve for x
    x = 24,320.88/135.18
  6. Step 6: Final answer
    x = 179.91

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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.