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Finding the Fourth Proportional to 150.12, 205.72 and 135.54

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Solution

The fourth proportional to 150.12, 205.72 and 135.54 is: 185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 205.72 = 135.54 : x
  2. Step 2: Convert to fraction form
    150.12/205.72 = 135.54/x
  3. Step 3: Cross multiply
    150.12x = 205.72 × 135.54
  4. Step 4: Simplify right side
    150.12x = 27,883.71
  5. Step 5: Solve for x
    x = 27,883.71/150.12
  6. Step 6: Final answer
    x = 185.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.