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Finding the Fourth Proportional to 118.69, 177.21 and 117.84

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Solution

The fourth proportional to 118.69, 177.21 and 117.84 is: 175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.69 : 177.21 = 117.84 : x
  2. Step 2: Convert to fraction form
    118.69/177.21 = 117.84/x
  3. Step 3: Cross multiply
    118.69x = 177.21 × 117.84
  4. Step 4: Simplify right side
    118.69x = 20,881.68
  5. Step 5: Solve for x
    x = 20,881.68/118.69
  6. Step 6: Final answer
    x = 175.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.