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Finding the Fourth Proportional to 223.48, 334.81 and 165.70

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Solution

The fourth proportional to 223.48, 334.81 and 165.70 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 334.81 = 165.70 : x
  2. Step 2: Convert to fraction form
    223.48/334.81 = 165.70/x
  3. Step 3: Cross multiply
    223.48x = 334.81 × 165.70
  4. Step 4: Simplify right side
    223.48x = 55,478.02
  5. Step 5: Solve for x
    x = 55,478.02/223.48
  6. Step 6: Final answer
    x = 248.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.