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Finding the Fourth Proportional to 118.05, 176.91 and 78.95

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Solution

The fourth proportional to 118.05, 176.91 and 78.95 is: 118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.05 : 176.91 = 78.95 : x
  2. Step 2: Convert to fraction form
    118.05/176.91 = 78.95/x
  3. Step 3: Cross multiply
    118.05x = 176.91 × 78.95
  4. Step 4: Simplify right side
    118.05x = 13,967.04
  5. Step 5: Solve for x
    x = 13,967.04/118.05
  6. Step 6: Final answer
    x = 118.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.