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Finding the Fourth Proportional to 223.26, 308.12 and 156.84

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Solution

The fourth proportional to 223.26, 308.12 and 156.84 is: 216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 308.12 = 156.84 : x
  2. Step 2: Convert to fraction form
    223.26/308.12 = 156.84/x
  3. Step 3: Cross multiply
    223.26x = 308.12 × 156.84
  4. Step 4: Simplify right side
    223.26x = 48,324.76
  5. Step 5: Solve for x
    x = 48,324.76/223.26
  6. Step 6: Final answer
    x = 216.45

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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.