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Finding the Fourth Proportional to 223.60, 308.42 and 157.36

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Solution

The fourth proportional to 223.60, 308.42 and 157.36 is: 217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.60 : 308.42 = 157.36 : x
  2. Step 2: Convert to fraction form
    223.60/308.42 = 157.36/x
  3. Step 3: Cross multiply
    223.60x = 308.42 × 157.36
  4. Step 4: Simplify right side
    223.60x = 48,531.50
  5. Step 5: Solve for x
    x = 48,531.50/223.60
  6. Step 6: Final answer
    x = 217.04

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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.