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Finding the Fourth Proportional to 171.04, 235.64 and 161.92

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Solution

The fourth proportional to 171.04, 235.64 and 161.92 is: 223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.04 : 235.64 = 161.92 : x
  2. Step 2: Convert to fraction form
    171.04/235.64 = 161.92/x
  3. Step 3: Cross multiply
    171.04x = 235.64 × 161.92
  4. Step 4: Simplify right side
    171.04x = 38,154.83
  5. Step 5: Solve for x
    x = 38,154.83/171.04
  6. Step 6: Final answer
    x = 223.08

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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.