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Finding the Fourth Proportional to 151.83, 208.22 and 144.54

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Solution

The fourth proportional to 151.83, 208.22 and 144.54 is: 198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.83 : 208.22 = 144.54 : x
  2. Step 2: Convert to fraction form
    151.83/208.22 = 144.54/x
  3. Step 3: Cross multiply
    151.83x = 208.22 × 144.54
  4. Step 4: Simplify right side
    151.83x = 30,095.40
  5. Step 5: Solve for x
    x = 30,095.40/151.83
  6. Step 6: Final answer
    x = 198.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.