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Finding the Fourth Proportional to 161.86, 223.28 and 106.58

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Solution

The fourth proportional to 161.86, 223.28 and 106.58 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.86 : 223.28 = 106.58 : x
  2. Step 2: Convert to fraction form
    161.86/223.28 = 106.58/x
  3. Step 3: Cross multiply
    161.86x = 223.28 × 106.58
  4. Step 4: Simplify right side
    161.86x = 23,797.18
  5. Step 5: Solve for x
    x = 23,797.18/161.86
  6. Step 6: Final answer
    x = 147.02

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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.