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Finding the Fourth Proportional to 232.11, 346.47 and 204.77

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Solution

The fourth proportional to 232.11, 346.47 and 204.77 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.11 : 346.47 = 204.77 : x
  2. Step 2: Convert to fraction form
    232.11/346.47 = 204.77/x
  3. Step 3: Cross multiply
    232.11x = 346.47 × 204.77
  4. Step 4: Simplify right side
    232.11x = 70,946.66
  5. Step 5: Solve for x
    x = 70,946.66/232.11
  6. Step 6: Final answer
    x = 305.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.