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Finding the Fourth Proportional to 251.00, 346.72 and 199.10

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Solution

The fourth proportional to 251.00, 346.72 and 199.10 is: 275.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.00 : 346.72 = 199.10 : x
  2. Step 2: Convert to fraction form
    251.00/346.72 = 199.10/x
  3. Step 3: Cross multiply
    251.00x = 346.72 × 199.10
  4. Step 4: Simplify right side
    251.00x = 69,030.96
  5. Step 5: Solve for x
    x = 69,030.96/251.00
  6. Step 6: Final answer
    x = 275.03

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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.