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Finding the Fourth Proportional to 137.18, 204.27 and 135.24

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Solution

The fourth proportional to 137.18, 204.27 and 135.24 is: 201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.18 : 204.27 = 135.24 : x
  2. Step 2: Convert to fraction form
    137.18/204.27 = 135.24/x
  3. Step 3: Cross multiply
    137.18x = 204.27 × 135.24
  4. Step 4: Simplify right side
    137.18x = 27,625.47
  5. Step 5: Solve for x
    x = 27,625.47/137.18
  6. Step 6: Final answer
    x = 201.38

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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.