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Finding the Fourth Proportional to 161.88, 223.47 and 109.47

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Solution

The fourth proportional to 161.88, 223.47 and 109.47 is: 151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.88 : 223.47 = 109.47 : x
  2. Step 2: Convert to fraction form
    161.88/223.47 = 109.47/x
  3. Step 3: Cross multiply
    161.88x = 223.47 × 109.47
  4. Step 4: Simplify right side
    161.88x = 24,463.26
  5. Step 5: Solve for x
    x = 24,463.26/161.88
  6. Step 6: Final answer
    x = 151.12

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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.