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Finding the Fourth Proportional to 135.30, 186.82 and 96.50

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Solution

The fourth proportional to 135.30, 186.82 and 96.50 is: 133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 186.82 = 96.50 : x
  2. Step 2: Convert to fraction form
    135.30/186.82 = 96.50/x
  3. Step 3: Cross multiply
    135.30x = 186.82 × 96.50
  4. Step 4: Simplify right side
    135.30x = 18,028.13
  5. Step 5: Solve for x
    x = 18,028.13/135.30
  6. Step 6: Final answer
    x = 133.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.