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Finding the Fourth Proportional to 251.64, 347.36 and 199.40

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Solution

The fourth proportional to 251.64, 347.36 and 199.40 is: 275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.64 : 347.36 = 199.40 : x
  2. Step 2: Convert to fraction form
    251.64/347.36 = 199.40/x
  3. Step 3: Cross multiply
    251.64x = 347.36 × 199.40
  4. Step 4: Simplify right side
    251.64x = 69,260.85
  5. Step 5: Solve for x
    x = 69,260.85/251.64
  6. Step 6: Final answer
    x = 275.24

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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.