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Finding the Fourth Proportional to 135.83, 188.44 and 129.15

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Solution

The fourth proportional to 135.83, 188.44 and 129.15 is: 179.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.83 : 188.44 = 129.15 : x
  2. Step 2: Convert to fraction form
    135.83/188.44 = 129.15/x
  3. Step 3: Cross multiply
    135.83x = 188.44 × 129.15
  4. Step 4: Simplify right side
    135.83x = 24,336.70
  5. Step 5: Solve for x
    x = 24,336.70/135.83
  6. Step 6: Final answer
    x = 179.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.