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Finding the Fourth Proportional to 151.20, 225.21 and 150.54

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Solution

The fourth proportional to 151.20, 225.21 and 150.54 is: 224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.20 : 225.21 = 150.54 : x
  2. Step 2: Convert to fraction form
    151.20/225.21 = 150.54/x
  3. Step 3: Cross multiply
    151.20x = 225.21 × 150.54
  4. Step 4: Simplify right side
    151.20x = 33,903.11
  5. Step 5: Solve for x
    x = 33,903.11/151.20
  6. Step 6: Final answer
    x = 224.23

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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.