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Finding the Fourth Proportional to 248.06, 342.38 and 165.17

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Solution

The fourth proportional to 248.06, 342.38 and 165.17 is: 227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.06 : 342.38 = 165.17 : x
  2. Step 2: Convert to fraction form
    248.06/342.38 = 165.17/x
  3. Step 3: Cross multiply
    248.06x = 342.38 × 165.17
  4. Step 4: Simplify right side
    248.06x = 56,548.37
  5. Step 5: Solve for x
    x = 56,548.37/248.06
  6. Step 6: Final answer
    x = 227.97

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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.