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Finding the Fourth Proportional to 161.88, 241.10 and 160.20

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Solution

The fourth proportional to 161.88, 241.10 and 160.20 is: 238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.88 : 241.10 = 160.20 : x
  2. Step 2: Convert to fraction form
    161.88/241.10 = 160.20/x
  3. Step 3: Cross multiply
    161.88x = 241.10 × 160.20
  4. Step 4: Simplify right side
    161.88x = 38,623.42
  5. Step 5: Solve for x
    x = 38,623.42/161.88
  6. Step 6: Final answer
    x = 238.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.