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Finding the Fourth Proportional to 136.29, 204.28 and 55.09

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Solution

The fourth proportional to 136.29, 204.28 and 55.09 is: 82.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.29 : 204.28 = 55.09 : x
  2. Step 2: Convert to fraction form
    136.29/204.28 = 55.09/x
  3. Step 3: Cross multiply
    136.29x = 204.28 × 55.09
  4. Step 4: Simplify right side
    136.29x = 11,253.79
  5. Step 5: Solve for x
    x = 11,253.79/136.29
  6. Step 6: Final answer
    x = 82.57

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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.