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Finding the Fourth Proportional to 223.71, 308.61 and 168.53

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Solution

The fourth proportional to 223.71, 308.61 and 168.53 is: 232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.71 : 308.61 = 168.53 : x
  2. Step 2: Convert to fraction form
    223.71/308.61 = 168.53/x
  3. Step 3: Cross multiply
    223.71x = 308.61 × 168.53
  4. Step 4: Simplify right side
    223.71x = 52,008.50
  5. Step 5: Solve for x
    x = 52,008.50/223.71
  6. Step 6: Final answer
    x = 232.48

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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.