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Finding the Fourth Proportional to 204.48, 305.10 and 190.62

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Solution

The fourth proportional to 204.48, 305.10 and 190.62 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.48 : 305.10 = 190.62 : x
  2. Step 2: Convert to fraction form
    204.48/305.10 = 190.62/x
  3. Step 3: Cross multiply
    204.48x = 305.10 × 190.62
  4. Step 4: Simplify right side
    204.48x = 58,158.16
  5. Step 5: Solve for x
    x = 58,158.16/204.48
  6. Step 6: Final answer
    x = 284.42

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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.