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Finding the Fourth Proportional to 163.47, 243.60 and 157.96

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Solution

The fourth proportional to 163.47, 243.60 and 157.96 is: 235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.47 : 243.60 = 157.96 : x
  2. Step 2: Convert to fraction form
    163.47/243.60 = 157.96/x
  3. Step 3: Cross multiply
    163.47x = 243.60 × 157.96
  4. Step 4: Simplify right side
    163.47x = 38,479.37
  5. Step 5: Solve for x
    x = 38,479.37/163.47
  6. Step 6: Final answer
    x = 235.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.