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Finding the Fourth Proportional to 162.94, 244.97 and 129.12

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Solution

The fourth proportional to 162.94, 244.97 and 129.12 is: 194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.94 : 244.97 = 129.12 : x
  2. Step 2: Convert to fraction form
    162.94/244.97 = 129.12/x
  3. Step 3: Cross multiply
    162.94x = 244.97 × 129.12
  4. Step 4: Simplify right side
    162.94x = 31,630.53
  5. Step 5: Solve for x
    x = 31,630.53/162.94
  6. Step 6: Final answer
    x = 194.12

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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.