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Finding the Fourth Proportional to 160.43, 221.55 and 145.85

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Solution

The fourth proportional to 160.43, 221.55 and 145.85 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.43 : 221.55 = 145.85 : x
  2. Step 2: Convert to fraction form
    160.43/221.55 = 145.85/x
  3. Step 3: Cross multiply
    160.43x = 221.55 × 145.85
  4. Step 4: Simplify right side
    160.43x = 32,313.07
  5. Step 5: Solve for x
    x = 32,313.07/160.43
  6. Step 6: Final answer
    x = 201.42

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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.