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Finding the Fourth Proportional to 120.52, 181.67 and 113.56

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Solution

The fourth proportional to 120.52, 181.67 and 113.56 is: 171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.52 : 181.67 = 113.56 : x
  2. Step 2: Convert to fraction form
    120.52/181.67 = 113.56/x
  3. Step 3: Cross multiply
    120.52x = 181.67 × 113.56
  4. Step 4: Simplify right side
    120.52x = 20,630.45
  5. Step 5: Solve for x
    x = 20,630.45/120.52
  6. Step 6: Final answer
    x = 171.18

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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.