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Finding the Fourth Proportional to 221.08, 304.40 and 171.32

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Solution

The fourth proportional to 221.08, 304.40 and 171.32 is: 235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.08 : 304.40 = 171.32 : x
  2. Step 2: Convert to fraction form
    221.08/304.40 = 171.32/x
  3. Step 3: Cross multiply
    221.08x = 304.40 × 171.32
  4. Step 4: Simplify right side
    221.08x = 52,149.81
  5. Step 5: Solve for x
    x = 52,149.81/221.08
  6. Step 6: Final answer
    x = 235.89

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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.