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Finding the Fourth Proportional to 135.16, 202.72 and 83.82

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Solution

The fourth proportional to 135.16, 202.72 and 83.82 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.16 : 202.72 = 83.82 : x
  2. Step 2: Convert to fraction form
    135.16/202.72 = 83.82/x
  3. Step 3: Cross multiply
    135.16x = 202.72 × 83.82
  4. Step 4: Simplify right side
    135.16x = 16,991.99
  5. Step 5: Solve for x
    x = 16,991.99/135.16
  6. Step 6: Final answer
    x = 125.72

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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.