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Finding the Fourth Proportional to 204.24, 305.66 and 171.77

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Solution

The fourth proportional to 204.24, 305.66 and 171.77 is: 257.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 305.66 = 171.77 : x
  2. Step 2: Convert to fraction form
    204.24/305.66 = 171.77/x
  3. Step 3: Cross multiply
    204.24x = 305.66 × 171.77
  4. Step 4: Simplify right side
    204.24x = 52,503.22
  5. Step 5: Solve for x
    x = 52,503.22/204.24
  6. Step 6: Final answer
    x = 257.07

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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.