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Finding the Fourth Proportional to 160.84, 221.98 and 95.38

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Solution

The fourth proportional to 160.84, 221.98 and 95.38 is: 131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 221.98 = 95.38 : x
  2. Step 2: Convert to fraction form
    160.84/221.98 = 95.38/x
  3. Step 3: Cross multiply
    160.84x = 221.98 × 95.38
  4. Step 4: Simplify right side
    160.84x = 21,172.45
  5. Step 5: Solve for x
    x = 21,172.45/160.84
  6. Step 6: Final answer
    x = 131.64

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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.