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Finding the Fourth Proportional to 151.21, 225.14 and 149.02

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Solution

The fourth proportional to 151.21, 225.14 and 149.02 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.21 : 225.14 = 149.02 : x
  2. Step 2: Convert to fraction form
    151.21/225.14 = 149.02/x
  3. Step 3: Cross multiply
    151.21x = 225.14 × 149.02
  4. Step 4: Simplify right side
    151.21x = 33,550.36
  5. Step 5: Solve for x
    x = 33,550.36/151.21
  6. Step 6: Final answer
    x = 221.88

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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.