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Finding the Fourth Proportional to 166.21, 249.04 and 150.01

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Solution

The fourth proportional to 166.21, 249.04 and 150.01 is: 224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.21 : 249.04 = 150.01 : x
  2. Step 2: Convert to fraction form
    166.21/249.04 = 150.01/x
  3. Step 3: Cross multiply
    166.21x = 249.04 × 150.01
  4. Step 4: Simplify right side
    166.21x = 37,358.49
  5. Step 5: Solve for x
    x = 37,358.49/166.21
  6. Step 6: Final answer
    x = 224.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.