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Finding the Fourth Proportional to 160.59, 221.63 and 95.09

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Solution

The fourth proportional to 160.59, 221.63 and 95.09 is: 131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.59 : 221.63 = 95.09 : x
  2. Step 2: Convert to fraction form
    160.59/221.63 = 95.09/x
  3. Step 3: Cross multiply
    160.59x = 221.63 × 95.09
  4. Step 4: Simplify right side
    160.59x = 21,073.21
  5. Step 5: Solve for x
    x = 21,073.21/160.59
  6. Step 6: Final answer
    x = 131.22

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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.