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Finding the Fourth Proportional to 251.00, 346.10 and 204.28

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Solution

The fourth proportional to 251.00, 346.10 and 204.28 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.00 : 346.10 = 204.28 : x
  2. Step 2: Convert to fraction form
    251.00/346.10 = 204.28/x
  3. Step 3: Cross multiply
    251.00x = 346.10 × 204.28
  4. Step 4: Simplify right side
    251.00x = 70,701.37
  5. Step 5: Solve for x
    x = 70,701.37/251.00
  6. Step 6: Final answer
    x = 281.68

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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.