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Finding the Fourth Proportional to 150.07, 206.72 and 142.78

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Solution

The fourth proportional to 150.07, 206.72 and 142.78 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.07 : 206.72 = 142.78 : x
  2. Step 2: Convert to fraction form
    150.07/206.72 = 142.78/x
  3. Step 3: Cross multiply
    150.07x = 206.72 × 142.78
  4. Step 4: Simplify right side
    150.07x = 29,513.73
  5. Step 5: Solve for x
    x = 29,513.73/150.07
  6. Step 6: Final answer
    x = 196.67

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Why These Related Problems?

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