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Finding the Fourth Proportional to 220.42, 303.64 and 171.21

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Solution

The fourth proportional to 220.42, 303.64 and 171.21 is: 235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.42 : 303.64 = 171.21 : x
  2. Step 2: Convert to fraction form
    220.42/303.64 = 171.21/x
  3. Step 3: Cross multiply
    220.42x = 303.64 × 171.21
  4. Step 4: Simplify right side
    220.42x = 51,986.20
  5. Step 5: Solve for x
    x = 51,986.20/220.42
  6. Step 6: Final answer
    x = 235.85

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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.