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Finding the Fourth Proportional to 150.21, 223.74 and 149.13

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Solution

The fourth proportional to 150.21, 223.74 and 149.13 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.21 : 223.74 = 149.13 : x
  2. Step 2: Convert to fraction form
    150.21/223.74 = 149.13/x
  3. Step 3: Cross multiply
    150.21x = 223.74 × 149.13
  4. Step 4: Simplify right side
    150.21x = 33,366.35
  5. Step 5: Solve for x
    x = 33,366.35/150.21
  6. Step 6: Final answer
    x = 222.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.