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Finding the Fourth Proportional to 138.12, 205.43 and 135.24

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Solution

The fourth proportional to 138.12, 205.43 and 135.24 is: 201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 205.43 = 135.24 : x
  2. Step 2: Convert to fraction form
    138.12/205.43 = 135.24/x
  3. Step 3: Cross multiply
    138.12x = 205.43 × 135.24
  4. Step 4: Simplify right side
    138.12x = 27,782.35
  5. Step 5: Solve for x
    x = 27,782.35/138.12
  6. Step 6: Final answer
    x = 201.15

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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.