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Finding the Fourth Proportional to 251.90, 347.53 and 199.45

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Solution

The fourth proportional to 251.90, 347.53 and 199.45 is: 275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.90 : 347.53 = 199.45 : x
  2. Step 2: Convert to fraction form
    251.90/347.53 = 199.45/x
  3. Step 3: Cross multiply
    251.90x = 347.53 × 199.45
  4. Step 4: Simplify right side
    251.90x = 69,313.86
  5. Step 5: Solve for x
    x = 69,313.86/251.90
  6. Step 6: Final answer
    x = 275.17

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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.