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Finding the Fourth Proportional to 118.08, 177.93 and 117.09

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Solution

The fourth proportional to 118.08, 177.93 and 117.09 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.08 : 177.93 = 117.09 : x
  2. Step 2: Convert to fraction form
    118.08/177.93 = 117.09/x
  3. Step 3: Cross multiply
    118.08x = 177.93 × 117.09
  4. Step 4: Simplify right side
    118.08x = 20,833.82
  5. Step 5: Solve for x
    x = 20,833.82/118.08
  6. Step 6: Final answer
    x = 176.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.