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Finding the Fourth Proportional to 248.98, 343.42 and 164.94

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Solution

The fourth proportional to 248.98, 343.42 and 164.94 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.98 : 343.42 = 164.94 : x
  2. Step 2: Convert to fraction form
    248.98/343.42 = 164.94/x
  3. Step 3: Cross multiply
    248.98x = 343.42 × 164.94
  4. Step 4: Simplify right side
    248.98x = 56,643.28
  5. Step 5: Solve for x
    x = 56,643.28/248.98
  6. Step 6: Final answer
    x = 227.50

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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.