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Finding the Fourth Proportional to 162.83, 244.14 and 81.57

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Solution

The fourth proportional to 162.83, 244.14 and 81.57 is: 122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.83 : 244.14 = 81.57 : x
  2. Step 2: Convert to fraction form
    162.83/244.14 = 81.57/x
  3. Step 3: Cross multiply
    162.83x = 244.14 × 81.57
  4. Step 4: Simplify right side
    162.83x = 19,914.50
  5. Step 5: Solve for x
    x = 19,914.50/162.83
  6. Step 6: Final answer
    x = 122.31

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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.