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Finding the Fourth Proportional to 150.54, 224.51 and 147.49

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Solution

The fourth proportional to 150.54, 224.51 and 147.49 is: 219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.54 : 224.51 = 147.49 : x
  2. Step 2: Convert to fraction form
    150.54/224.51 = 147.49/x
  3. Step 3: Cross multiply
    150.54x = 224.51 × 147.49
  4. Step 4: Simplify right side
    150.54x = 33,112.98
  5. Step 5: Solve for x
    x = 33,112.98/150.54
  6. Step 6: Final answer
    x = 219.96

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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.