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Finding the Fourth Proportional to 204.48, 305.25 and 195.64

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Solution

The fourth proportional to 204.48, 305.25 and 195.64 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.48 : 305.25 = 195.64 : x
  2. Step 2: Convert to fraction form
    204.48/305.25 = 195.64/x
  3. Step 3: Cross multiply
    204.48x = 305.25 × 195.64
  4. Step 4: Simplify right side
    204.48x = 59,719.11
  5. Step 5: Solve for x
    x = 59,719.11/204.48
  6. Step 6: Final answer
    x = 292.05

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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.