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Finding the Fourth Proportional to 118.14, 177.84 and 92.64

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Solution

The fourth proportional to 118.14, 177.84 and 92.64 is: 139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.14 : 177.84 = 92.64 : x
  2. Step 2: Convert to fraction form
    118.14/177.84 = 92.64/x
  3. Step 3: Cross multiply
    118.14x = 177.84 × 92.64
  4. Step 4: Simplify right side
    118.14x = 16,475.10
  5. Step 5: Solve for x
    x = 16,475.10/118.14
  6. Step 6: Final answer
    x = 139.45

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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.