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Finding the Fourth Proportional to 251.05, 346.12 and 204.25

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Solution

The fourth proportional to 251.05, 346.12 and 204.25 is: 281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.05 : 346.12 = 204.25 : x
  2. Step 2: Convert to fraction form
    251.05/346.12 = 204.25/x
  3. Step 3: Cross multiply
    251.05x = 346.12 × 204.25
  4. Step 4: Simplify right side
    251.05x = 70,695.01
  5. Step 5: Solve for x
    x = 70,695.01/251.05
  6. Step 6: Final answer
    x = 281.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.