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Finding the Fourth Proportional to 135.69, 201.91 and 135.23

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Solution

The fourth proportional to 135.69, 201.91 and 135.23 is: 201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.69 : 201.91 = 135.23 : x
  2. Step 2: Convert to fraction form
    135.69/201.91 = 135.23/x
  3. Step 3: Cross multiply
    135.69x = 201.91 × 135.23
  4. Step 4: Simplify right side
    135.69x = 27,304.04
  5. Step 5: Solve for x
    x = 27,304.04/135.69
  6. Step 6: Final answer
    x = 201.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.