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Finding the Fourth Proportional to 136.57, 204.78 and 45.22

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Solution

The fourth proportional to 136.57, 204.78 and 45.22 is: 67.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.57 : 204.78 = 45.22 : x
  2. Step 2: Convert to fraction form
    136.57/204.78 = 45.22/x
  3. Step 3: Cross multiply
    136.57x = 204.78 × 45.22
  4. Step 4: Simplify right side
    136.57x = 9,260.02
  5. Step 5: Solve for x
    x = 9,260.02/136.57
  6. Step 6: Final answer
    x = 67.80

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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.