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Finding the Fourth Proportional to 151.23, 225.37 and 146.83

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Solution

The fourth proportional to 151.23, 225.37 and 146.83 is: 218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 225.37 = 146.83 : x
  2. Step 2: Convert to fraction form
    151.23/225.37 = 146.83/x
  3. Step 3: Cross multiply
    151.23x = 225.37 × 146.83
  4. Step 4: Simplify right side
    151.23x = 33,091.08
  5. Step 5: Solve for x
    x = 33,091.08/151.23
  6. Step 6: Final answer
    x = 218.81

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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.