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Finding the Fourth Proportional to 161.16, 241.67 and 51.44

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Solution

The fourth proportional to 161.16, 241.67 and 51.44 is: 77.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 241.67 = 51.44 : x
  2. Step 2: Convert to fraction form
    161.16/241.67 = 51.44/x
  3. Step 3: Cross multiply
    161.16x = 241.67 × 51.44
  4. Step 4: Simplify right side
    161.16x = 12,431.50
  5. Step 5: Solve for x
    x = 12,431.50/161.16
  6. Step 6: Final answer
    x = 77.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.