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Finding the Fourth Proportional to 151.21, 208.61 and 112.33

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Solution

The fourth proportional to 151.21, 208.61 and 112.33 is: 154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.21 : 208.61 = 112.33 : x
  2. Step 2: Convert to fraction form
    151.21/208.61 = 112.33/x
  3. Step 3: Cross multiply
    151.21x = 208.61 × 112.33
  4. Step 4: Simplify right side
    151.21x = 23,432.60
  5. Step 5: Solve for x
    x = 23,432.60/151.21
  6. Step 6: Final answer
    x = 154.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.