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Finding the Fourth Proportional to 203.91, 305.47 and 171.63

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Solution

The fourth proportional to 203.91, 305.47 and 171.63 is: 257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.91 : 305.47 = 171.63 : x
  2. Step 2: Convert to fraction form
    203.91/305.47 = 171.63/x
  3. Step 3: Cross multiply
    203.91x = 305.47 × 171.63
  4. Step 4: Simplify right side
    203.91x = 52,427.82
  5. Step 5: Solve for x
    x = 52,427.82/203.91
  6. Step 6: Final answer
    x = 257.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.