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Finding the Fourth Proportional to 161.87, 224.51 and 157.41

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Solution

The fourth proportional to 161.87, 224.51 and 157.41 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.87 : 224.51 = 157.41 : x
  2. Step 2: Convert to fraction form
    161.87/224.51 = 157.41/x
  3. Step 3: Cross multiply
    161.87x = 224.51 × 157.41
  4. Step 4: Simplify right side
    161.87x = 35,339.33
  5. Step 5: Solve for x
    x = 35,339.33/161.87
  6. Step 6: Final answer
    x = 218.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.