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Finding the Fourth Proportional to 150.29, 207.72 and 132.67

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Solution

The fourth proportional to 150.29, 207.72 and 132.67 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.29 : 207.72 = 132.67 : x
  2. Step 2: Convert to fraction form
    150.29/207.72 = 132.67/x
  3. Step 3: Cross multiply
    150.29x = 207.72 × 132.67
  4. Step 4: Simplify right side
    150.29x = 27,558.21
  5. Step 5: Solve for x
    x = 27,558.21/150.29
  6. Step 6: Final answer
    x = 183.37

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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.