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Finding the Fourth Proportional to 162.92, 244.36 and 76.31

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Solution

The fourth proportional to 162.92, 244.36 and 76.31 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.92 : 244.36 = 76.31 : x
  2. Step 2: Convert to fraction form
    162.92/244.36 = 76.31/x
  3. Step 3: Cross multiply
    162.92x = 244.36 × 76.31
  4. Step 4: Simplify right side
    162.92x = 18,646.90
  5. Step 5: Solve for x
    x = 18,646.90/162.92
  6. Step 6: Final answer
    x = 114.45

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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.