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Finding the Fourth Proportional to 118.45, 162.04 and 117.91

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Solution

The fourth proportional to 118.45, 162.04 and 117.91 is: 161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.45 : 162.04 = 117.91 : x
  2. Step 2: Convert to fraction form
    118.45/162.04 = 117.91/x
  3. Step 3: Cross multiply
    118.45x = 162.04 × 117.91
  4. Step 4: Simplify right side
    118.45x = 19,106.14
  5. Step 5: Solve for x
    x = 19,106.14/118.45
  6. Step 6: Final answer
    x = 161.30

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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.