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Finding the Fourth Proportional to 136.29, 189.34 and 135.02

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Solution

The fourth proportional to 136.29, 189.34 and 135.02 is: 187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.29 : 189.34 = 135.02 : x
  2. Step 2: Convert to fraction form
    136.29/189.34 = 135.02/x
  3. Step 3: Cross multiply
    136.29x = 189.34 × 135.02
  4. Step 4: Simplify right side
    136.29x = 25,564.01
  5. Step 5: Solve for x
    x = 25,564.01/136.29
  6. Step 6: Final answer
    x = 187.57

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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.