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Finding the Fourth Proportional to 204.96, 307.44 and 50.90

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Solution

The fourth proportional to 204.96, 307.44 and 50.90 is: 76.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 307.44 = 50.90 : x
  2. Step 2: Convert to fraction form
    204.96/307.44 = 50.90/x
  3. Step 3: Cross multiply
    204.96x = 307.44 × 50.90
  4. Step 4: Simplify right side
    204.96x = 15,647.16
  5. Step 5: Solve for x
    x = 15,647.16/204.96
  6. Step 6: Final answer
    x = 76.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.