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Finding the Fourth Proportional to 118.64, 162.30 and 117.96

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Solution

The fourth proportional to 118.64, 162.30 and 117.96 is: 161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.64 : 162.30 = 117.96 : x
  2. Step 2: Convert to fraction form
    118.64/162.30 = 117.96/x
  3. Step 3: Cross multiply
    118.64x = 162.30 × 117.96
  4. Step 4: Simplify right side
    118.64x = 19,144.91
  5. Step 5: Solve for x
    x = 19,144.91/118.64
  6. Step 6: Final answer
    x = 161.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.