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Finding the Fourth Proportional to 135.99, 204 and 84.69

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Solution

The fourth proportional to 135.99, 204 and 84.69 is: 127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.99 : 204 = 84.69 : x
  2. Step 2: Convert to fraction form
    135.99/204 = 84.69/x
  3. Step 3: Cross multiply
    135.99x = 204 × 84.69
  4. Step 4: Simplify right side
    135.99x = 17,276.76
  5. Step 5: Solve for x
    x = 17,276.76/135.99
  6. Step 6: Final answer
    x = 127.04

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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.