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Finding the Fourth Proportional to 229.06, 344.86 and 157.39

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Solution

The fourth proportional to 229.06, 344.86 and 157.39 is: 236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.06 : 344.86 = 157.39 : x
  2. Step 2: Convert to fraction form
    229.06/344.86 = 157.39/x
  3. Step 3: Cross multiply
    229.06x = 344.86 × 157.39
  4. Step 4: Simplify right side
    229.06x = 54,277.52
  5. Step 5: Solve for x
    x = 54,277.52/229.06
  6. Step 6: Final answer
    x = 236.96

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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.