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Finding the Fourth Proportional to 160.68, 221.70 and 95.22

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Solution

The fourth proportional to 160.68, 221.70 and 95.22 is: 131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 221.70 = 95.22 : x
  2. Step 2: Convert to fraction form
    160.68/221.70 = 95.22/x
  3. Step 3: Cross multiply
    160.68x = 221.70 × 95.22
  4. Step 4: Simplify right side
    160.68x = 21,110.27
  5. Step 5: Solve for x
    x = 21,110.27/160.68
  6. Step 6: Final answer
    x = 131.38

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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.