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Finding the Fourth Proportional to 150.57, 224.26 and 149.79

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Solution

The fourth proportional to 150.57, 224.26 and 149.79 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.57 : 224.26 = 149.79 : x
  2. Step 2: Convert to fraction form
    150.57/224.26 = 149.79/x
  3. Step 3: Cross multiply
    150.57x = 224.26 × 149.79
  4. Step 4: Simplify right side
    150.57x = 33,592.37
  5. Step 5: Solve for x
    x = 33,592.37/150.57
  6. Step 6: Final answer
    x = 223.10

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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.