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Finding the Fourth Proportional to 118.22, 178.32 and 114.57

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Solution

The fourth proportional to 118.22, 178.32 and 114.57 is: 172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.22 : 178.32 = 114.57 : x
  2. Step 2: Convert to fraction form
    118.22/178.32 = 114.57/x
  3. Step 3: Cross multiply
    118.22x = 178.32 × 114.57
  4. Step 4: Simplify right side
    118.22x = 20,430.12
  5. Step 5: Solve for x
    x = 20,430.12/118.22
  6. Step 6: Final answer
    x = 172.82

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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.