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Finding the Fourth Proportional to 151.05, 225.48 and 140.37

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Solution

The fourth proportional to 151.05, 225.48 and 140.37 is: 209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.05 : 225.48 = 140.37 : x
  2. Step 2: Convert to fraction form
    151.05/225.48 = 140.37/x
  3. Step 3: Cross multiply
    151.05x = 225.48 × 140.37
  4. Step 4: Simplify right side
    151.05x = 31,651.26
  5. Step 5: Solve for x
    x = 31,651.26/151.05
  6. Step 6: Final answer
    x = 209.54

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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.