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Finding the Fourth Proportional to 160.35, 221.34 and 132.78

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Solution

The fourth proportional to 160.35, 221.34 and 132.78 is: 183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.35 : 221.34 = 132.78 : x
  2. Step 2: Convert to fraction form
    160.35/221.34 = 132.78/x
  3. Step 3: Cross multiply
    160.35x = 221.34 × 132.78
  4. Step 4: Simplify right side
    160.35x = 29,389.53
  5. Step 5: Solve for x
    x = 29,389.53/160.35
  6. Step 6: Final answer
    x = 183.28

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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.