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Finding the Fourth Proportional to 151.07, 225.48 and 133.04

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Solution

The fourth proportional to 151.07, 225.48 and 133.04 is: 198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 225.48 = 133.04 : x
  2. Step 2: Convert to fraction form
    151.07/225.48 = 133.04/x
  3. Step 3: Cross multiply
    151.07x = 225.48 × 133.04
  4. Step 4: Simplify right side
    151.07x = 29,998.92
  5. Step 5: Solve for x
    x = 29,998.92/151.07
  6. Step 6: Final answer
    x = 198.58

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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.