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Finding the Fourth Proportional to 135.74, 204.52 and 122.91

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Solution

The fourth proportional to 135.74, 204.52 and 122.91 is: 185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.74 : 204.52 = 122.91 : x
  2. Step 2: Convert to fraction form
    135.74/204.52 = 122.91/x
  3. Step 3: Cross multiply
    135.74x = 204.52 × 122.91
  4. Step 4: Simplify right side
    135.74x = 25,136.94
  5. Step 5: Solve for x
    x = 25,136.94/135.74
  6. Step 6: Final answer
    x = 185.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.