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Finding the Fourth Proportional to 150.12, 206.66 and 125.52

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Solution

The fourth proportional to 150.12, 206.66 and 125.52 is: 172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.12 : 206.66 = 125.52 : x
  2. Step 2: Convert to fraction form
    150.12/206.66 = 125.52/x
  3. Step 3: Cross multiply
    150.12x = 206.66 × 125.52
  4. Step 4: Simplify right side
    150.12x = 25,939.96
  5. Step 5: Solve for x
    x = 25,939.96/150.12
  6. Step 6: Final answer
    x = 172.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.