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Finding the Fourth Proportional to 118.29, 178.44 and 114.51

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Solution

The fourth proportional to 118.29, 178.44 and 114.51 is: 172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.29 : 178.44 = 114.51 : x
  2. Step 2: Convert to fraction form
    118.29/178.44 = 114.51/x
  3. Step 3: Cross multiply
    118.29x = 178.44 × 114.51
  4. Step 4: Simplify right side
    118.29x = 20,433.16
  5. Step 5: Solve for x
    x = 20,433.16/118.29
  6. Step 6: Final answer
    x = 172.74

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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.