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Finding the Fourth Proportional to 248.87, 343.50 and 165.98

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Solution

The fourth proportional to 248.87, 343.50 and 165.98 is: 229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.87 : 343.50 = 165.98 : x
  2. Step 2: Convert to fraction form
    248.87/343.50 = 165.98/x
  3. Step 3: Cross multiply
    248.87x = 343.50 × 165.98
  4. Step 4: Simplify right side
    248.87x = 57,014.99
  5. Step 5: Solve for x
    x = 57,014.99/248.87
  6. Step 6: Final answer
    x = 229.09

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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.