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Finding the Fourth Proportional to 135.49, 185.84 and 133.87

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Solution

The fourth proportional to 135.49, 185.84 and 133.87 is: 183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.49 : 185.84 = 133.87 : x
  2. Step 2: Convert to fraction form
    135.49/185.84 = 133.87/x
  3. Step 3: Cross multiply
    135.49x = 185.84 × 133.87
  4. Step 4: Simplify right side
    135.49x = 24,878.40
  5. Step 5: Solve for x
    x = 24,878.40/135.49
  6. Step 6: Final answer
    x = 183.62

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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.