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Finding the Fourth Proportional to 118.40, 176.42 and 105.63

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Solution

The fourth proportional to 118.40, 176.42 and 105.63 is: 157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 176.42 = 105.63 : x
  2. Step 2: Convert to fraction form
    118.40/176.42 = 105.63/x
  3. Step 3: Cross multiply
    118.40x = 176.42 × 105.63
  4. Step 4: Simplify right side
    118.40x = 18,634.72
  5. Step 5: Solve for x
    x = 18,634.72/118.40
  6. Step 6: Final answer
    x = 157.39

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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.