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Finding the Fourth Proportional to 204.40, 305.12 and 203.92

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Solution

The fourth proportional to 204.40, 305.12 and 203.92 is: 304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 305.12 = 203.92 : x
  2. Step 2: Convert to fraction form
    204.40/305.12 = 203.92/x
  3. Step 3: Cross multiply
    204.40x = 305.12 × 203.92
  4. Step 4: Simplify right side
    204.40x = 62,220.07
  5. Step 5: Solve for x
    x = 62,220.07/204.40
  6. Step 6: Final answer
    x = 304.40

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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.