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Finding the Fourth Proportional to 118.24, 162.88 and 83.21

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Solution

The fourth proportional to 118.24, 162.88 and 83.21 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.24 : 162.88 = 83.21 : x
  2. Step 2: Convert to fraction form
    118.24/162.88 = 83.21/x
  3. Step 3: Cross multiply
    118.24x = 162.88 × 83.21
  4. Step 4: Simplify right side
    118.24x = 13,552.22
  5. Step 5: Solve for x
    x = 13,552.22/118.24
  6. Step 6: Final answer
    x = 114.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.