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Finding the Fourth Proportional to 223.31, 336.29 and 165.95

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Solution

The fourth proportional to 223.31, 336.29 and 165.95 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.31 : 336.29 = 165.95 : x
  2. Step 2: Convert to fraction form
    223.31/336.29 = 165.95/x
  3. Step 3: Cross multiply
    223.31x = 336.29 × 165.95
  4. Step 4: Simplify right side
    223.31x = 55,804.81
  5. Step 5: Solve for x
    x = 55,804.81/223.31
  6. Step 6: Final answer
    x = 249.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.