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Finding the Fourth Proportional to 171.08, 235.68 and 160.64

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Solution

The fourth proportional to 171.08, 235.68 and 160.64 is: 221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.08 : 235.68 = 160.64 : x
  2. Step 2: Convert to fraction form
    171.08/235.68 = 160.64/x
  3. Step 3: Cross multiply
    171.08x = 235.68 × 160.64
  4. Step 4: Simplify right side
    171.08x = 37,859.64
  5. Step 5: Solve for x
    x = 37,859.64/171.08
  6. Step 6: Final answer
    x = 221.30

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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.