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Finding the Fourth Proportional to 162.78, 243.97 and 71.37

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Solution

The fourth proportional to 162.78, 243.97 and 71.37 is: 106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.78 : 243.97 = 71.37 : x
  2. Step 2: Convert to fraction form
    162.78/243.97 = 71.37/x
  3. Step 3: Cross multiply
    162.78x = 243.97 × 71.37
  4. Step 4: Simplify right side
    162.78x = 17,412.14
  5. Step 5: Solve for x
    x = 17,412.14/162.78
  6. Step 6: Final answer
    x = 106.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.