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Finding the Fourth Proportional to 204.34, 305.00 and 188.07

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Solution

The fourth proportional to 204.34, 305.00 and 188.07 is: 280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.34 : 305.00 = 188.07 : x
  2. Step 2: Convert to fraction form
    204.34/305.00 = 188.07/x
  3. Step 3: Cross multiply
    204.34x = 305.00 × 188.07
  4. Step 4: Simplify right side
    204.34x = 57,360.41
  5. Step 5: Solve for x
    x = 57,360.41/204.34
  6. Step 6: Final answer
    x = 280.71

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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.